Finding the Third Proportional to 6,885,536,965,576 and 15,068,164,105,776

Step by Step Solution

1. Step 1: Write the proportion equation
   6,885,536,965,576 : 15,068,164,105,776 = 15,068,164,105,776 : x
2. Step 2: Convert to fraction form
   6,885,536,965,576/15,068,164,105,776 = 15,068,164,105,776/x
3. Step 3: Cross multiply
   6,885,536,965,576x = 15,068,164,105,776 × 15,068,164,105,776
4. Step 4: Simplify right side
   6,885,536,965,576x = 227,049,569,518,596,253,825,368,064
5. Step 5: Solve for x
   x = 227,049,569,518,596,253,825,368,064/6,885,536,965,576
6. Step 6: Final answer
   x = 32,974,853,036,694.54