Finding the Third Proportional to 31,746 and 67,866

Step by Step Solution

1. Step 1: Write the proportion equation
   31,746 : 67,866 = 67,866 : x
2. Step 2: Convert to fraction form
   31,746/67,866 = 67,866/x
3. Step 3: Cross multiply
   31,746x = 67,866 × 67,866
4. Step 4: Simplify right side
   31,746x = 4,605,793,956
5. Step 5: Solve for x
   x = 4,605,793,956/31,746
6. Step 6: Final answer
   x = 145,082.65