Finding the Third Proportional to 32,899.50 and 72,046.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,899.50 : 72,046.50 = 72,046.50 : x
2. Step 2: Convert to fraction form
   32,899.50/72,046.50 = 72,046.50/x
3. Step 3: Cross multiply
   32,899.50x = 72,046.50 × 72,046.50
4. Step 4: Simplify right side
   32,899.50x = 5,190,698,162.25
5. Step 5: Solve for x
   x = 5,190,698,162.25/32,899.50
6. Step 6: Final answer
   x = 157,774.38