Finding the Third Proportional to 32,323,181,566 and 75,521,536,947

Step by Step Solution

1. Step 1: Write the proportion equation
   32,323,181,566 : 75,521,536,947 = 75,521,536,947 : x
2. Step 2: Convert to fraction form
   32,323,181,566/75,521,536,947 = 75,521,536,947/x
3. Step 3: Cross multiply
   32,323,181,566x = 75,521,536,947 × 75,521,536,947
4. Step 4: Simplify right side
   32,323,181,566x = 5,703,502,542,837,086,420,992
5. Step 5: Solve for x
   x = 5,703,502,542,837,086,420,992/32,323,181,566
6. Step 6: Final answer
   x = 176,452,387,002.54