Finding the Third Proportional to 32,023.50 and 69,585

Step by Step Solution

1. Step 1: Write the proportion equation
   32,023.50 : 69,585 = 69,585 : x
2. Step 2: Convert to fraction form
   32,023.50/69,585 = 69,585/x
3. Step 3: Cross multiply
   32,023.50x = 69,585 × 69,585
4. Step 4: Simplify right side
   32,023.50x = 4,842,072,225
5. Step 5: Solve for x
   x = 4,842,072,225/32,023.50
6. Step 6: Final answer
   x = 151,203.72