Finding the Third Proportional to 31,746 and 68,960

Step by Step Solution

1. Step 1: Write the proportion equation
   31,746 : 68,960 = 68,960 : x
2. Step 2: Convert to fraction form
   31,746/68,960 = 68,960/x
3. Step 3: Cross multiply
   31,746x = 68,960 × 68,960
4. Step 4: Simplify right side
   31,746x = 4,755,481,600
5. Step 5: Solve for x
   x = 4,755,481,600/31,746
6. Step 6: Final answer
   x = 149,797.82