Finding the Third Proportional to 32,520 and 69,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,520 : 69,892.50 = 69,892.50 : x
2. Step 2: Convert to fraction form
   32,520/69,892.50 = 69,892.50/x
3. Step 3: Cross multiply
   32,520x = 69,892.50 × 69,892.50
4. Step 4: Simplify right side
   32,520x = 4,884,961,556.25
5. Step 5: Solve for x
   x = 4,884,961,556.25/32,520
6. Step 6: Final answer
   x = 150,214.07