Finding the Third Proportional to 31,972 and 69,566

Step by Step Solution

1. Step 1: Write the proportion equation
   31,972 : 69,566 = 69,566 : x
2. Step 2: Convert to fraction form
   31,972/69,566 = 69,566/x
3. Step 3: Cross multiply
   31,972x = 69,566 × 69,566
4. Step 4: Simplify right side
   31,972x = 4,839,428,356
5. Step 5: Solve for x
   x = 4,839,428,356/31,972
6. Step 6: Final answer
   x = 151,364.58