Finding the Third Proportional to 32,799 and 71,902.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,799 : 71,902.50 = 71,902.50 : x
2. Step 2: Convert to fraction form
   32,799/71,902.50 = 71,902.50/x
3. Step 3: Cross multiply
   32,799x = 71,902.50 × 71,902.50
4. Step 4: Simplify right side
   32,799x = 5,169,969,506.25
5. Step 5: Solve for x
   x = 5,169,969,506.25/32,799
6. Step 6: Final answer
   x = 157,625.83