Finding the Third Proportional to 31,509 and 69,230

Step by Step Solution

1. Step 1: Write the proportion equation
   31,509 : 69,230 = 69,230 : x
2. Step 2: Convert to fraction form
   31,509/69,230 = 69,230/x
3. Step 3: Cross multiply
   31,509x = 69,230 × 69,230
4. Step 4: Simplify right side
   31,509x = 4,792,792,900
5. Step 5: Solve for x
   x = 4,792,792,900/31,509
6. Step 6: Final answer
   x = 152,108.70