Finding the Third Proportional to 32,970 and 72,352.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,970 : 72,352.50 = 72,352.50 : x
2. Step 2: Convert to fraction form
   32,970/72,352.50 = 72,352.50/x
3. Step 3: Cross multiply
   32,970x = 72,352.50 × 72,352.50
4. Step 4: Simplify right side
   32,970x = 5,234,884,256.25
5. Step 5: Solve for x
   x = 5,234,884,256.25/32,970
6. Step 6: Final answer
   x = 158,777.20