Finding the Third Proportional to 32,969 and 72,255.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,969 : 72,255.50 = 72,255.50 : x
2. Step 2: Convert to fraction form
   32,969/72,255.50 = 72,255.50/x
3. Step 3: Cross multiply
   32,969x = 72,255.50 × 72,255.50
4. Step 4: Simplify right side
   32,969x = 5,220,857,280.25
5. Step 5: Solve for x
   x = 5,220,857,280.25/32,969
6. Step 6: Final answer
   x = 158,356.56