Finding the Third Proportional to 32,530 and 71,396

Step by Step Solution

1. Step 1: Write the proportion equation
   32,530 : 71,396 = 71,396 : x
2. Step 2: Convert to fraction form
   32,530/71,396 = 71,396/x
3. Step 3: Cross multiply
   32,530x = 71,396 × 71,396
4. Step 4: Simplify right side
   32,530x = 5,097,388,816
5. Step 5: Solve for x
   x = 5,097,388,816/32,530
6. Step 6: Final answer
   x = 156,698.09