Finding the Third Proportional to 31,690 and 69,576

Step by Step Solution

1. Step 1: Write the proportion equation
   31,690 : 69,576 = 69,576 : x
2. Step 2: Convert to fraction form
   31,690/69,576 = 69,576/x
3. Step 3: Cross multiply
   31,690x = 69,576 × 69,576
4. Step 4: Simplify right side
   31,690x = 4,840,819,776
5. Step 5: Solve for x
   x = 4,840,819,776/31,690
6. Step 6: Final answer
   x = 152,755.44