Finding the Third Proportional to 6,885,536,965,572 and 15,068,164,105,768

Step by Step Solution

1. Step 1: Write the proportion equation
   6,885,536,965,572 : 15,068,164,105,768 = 15,068,164,105,768 : x
2. Step 2: Convert to fraction form
   6,885,536,965,572/15,068,164,105,768 = 15,068,164,105,768/x
3. Step 3: Cross multiply
   6,885,536,965,572x = 15,068,164,105,768 × 15,068,164,105,768
4. Step 4: Simplify right side
   6,885,536,965,572x = 227,049,569,518,355,151,541,239,808
5. Step 5: Solve for x
   x = 227,049,569,518,355,151,541,239,808/6,885,536,965,572
6. Step 6: Final answer
   x = 32,974,853,036,678.68