Finding the Third Proportional to 32,296 and 69,540

Step by Step Solution

1. Step 1: Write the proportion equation
   32,296 : 69,540 = 69,540 : x
2. Step 2: Convert to fraction form
   32,296/69,540 = 69,540/x
3. Step 3: Cross multiply
   32,296x = 69,540 × 69,540
4. Step 4: Simplify right side
   32,296x = 4,835,811,600
5. Step 5: Solve for x
   x = 4,835,811,600/32,296
6. Step 6: Final answer
   x = 149,734.07