Finding the Third Proportional to 31,744 and 69,132

Step by Step Solution

1. Step 1: Write the proportion equation
   31,744 : 69,132 = 69,132 : x
2. Step 2: Convert to fraction form
   31,744/69,132 = 69,132/x
3. Step 3: Cross multiply
   31,744x = 69,132 × 69,132
4. Step 4: Simplify right side
   31,744x = 4,779,233,424
5. Step 5: Solve for x
   x = 4,779,233,424/31,744
6. Step 6: Final answer
   x = 150,555.49