Finding the Third Proportional to 37,716,140,670 and 82,128,437,970

Step by Step Solution

1. Step 1: Write the proportion equation
   37,716,140,670 : 82,128,437,970 = 82,128,437,970 : x
2. Step 2: Convert to fraction form
   37,716,140,670/82,128,437,970 = 82,128,437,970/x
3. Step 3: Cross multiply
   37,716,140,670x = 82,128,437,970 × 82,128,437,970
4. Step 4: Simplify right side
   37,716,140,670x = 6,745,080,323,392,138,117,120
5. Step 5: Solve for x
   x = 6,745,080,323,392,138,117,120/37,716,140,670
6. Step 6: Final answer
   x = 178,838,030,709.68