Finding the Third Proportional to 35,669.25 and 84,354.47

Step by Step Solution

1. Step 1: Write the proportion equation
   35,669.25 : 84,354.47 = 84,354.47 : x
2. Step 2: Convert to fraction form
   35,669.25/84,354.47 = 84,354.47/x
3. Step 3: Cross multiply
   35,669.25x = 84,354.47 × 84,354.47
4. Step 4: Simplify right side
   35,669.25x = 7,115,676,398.09
5. Step 5: Solve for x
   x = 7,115,676,398.09/35,669.25
6. Step 6: Final answer
   x = 199,490.50