Finding the Third Proportional to 31,569 and 69,699

Step by Step Solution

1. Step 1: Write the proportion equation
   31,569 : 69,699 = 69,699 : x
2. Step 2: Convert to fraction form
   31,569/69,699 = 69,699/x
3. Step 3: Cross multiply
   31,569x = 69,699 × 69,699
4. Step 4: Simplify right side
   31,569x = 4,857,950,601
5. Step 5: Solve for x
   x = 4,857,950,601/31,569
6. Step 6: Final answer
   x = 153,883.58