Finding the Third Proportional to 31,601 and 69,399

Step by Step Solution

1. Step 1: Write the proportion equation
   31,601 : 69,399 = 69,399 : x
2. Step 2: Convert to fraction form
   31,601/69,399 = 69,399/x
3. Step 3: Cross multiply
   31,601x = 69,399 × 69,399
4. Step 4: Simplify right side
   31,601x = 4,816,221,201
5. Step 5: Solve for x
   x = 4,816,221,201/31,601
6. Step 6: Final answer
   x = 152,407.24