Finding the Third Proportional to 31,754 and 69,892

Step by Step Solution

1. Step 1: Write the proportion equation
   31,754 : 69,892 = 69,892 : x
2. Step 2: Convert to fraction form
   31,754/69,892 = 69,892/x
3. Step 3: Cross multiply
   31,754x = 69,892 × 69,892
4. Step 4: Simplify right side
   31,754x = 4,884,891,664
5. Step 5: Solve for x
   x = 4,884,891,664/31,754
6. Step 6: Final answer
   x = 153,835.47