Finding the Third Proportional to 31,766 and 69,754

Step by Step Solution

1. Step 1: Write the proportion equation
   31,766 : 69,754 = 69,754 : x
2. Step 2: Convert to fraction form
   31,766/69,754 = 69,754/x
3. Step 3: Cross multiply
   31,766x = 69,754 × 69,754
4. Step 4: Simplify right side
   31,766x = 4,865,620,516
5. Step 5: Solve for x
   x = 4,865,620,516/31,766
6. Step 6: Final answer
   x = 153,170.70