Finding the Third Proportional to 31,972 and 69,048

Step by Step Solution

1. Step 1: Write the proportion equation
   31,972 : 69,048 = 69,048 : x
2. Step 2: Convert to fraction form
   31,972/69,048 = 69,048/x
3. Step 3: Cross multiply
   31,972x = 69,048 × 69,048
4. Step 4: Simplify right side
   31,972x = 4,767,626,304
5. Step 5: Solve for x
   x = 4,767,626,304/31,972
6. Step 6: Final answer
   x = 149,118.80