Finding the Third Proportional to 31,665 and 69,650

Step by Step Solution

1. Step 1: Write the proportion equation
   31,665 : 69,650 = 69,650 : x
2. Step 2: Convert to fraction form
   31,665/69,650 = 69,650/x
3. Step 3: Cross multiply
   31,665x = 69,650 × 69,650
4. Step 4: Simplify right side
   31,665x = 4,851,122,500
5. Step 5: Solve for x
   x = 4,851,122,500/31,665
6. Step 6: Final answer
   x = 153,201.41