Finding the Third Proportional to 31,456 and 68,746

Step by Step Solution

1. Step 1: Write the proportion equation
   31,456 : 68,746 = 68,746 : x
2. Step 2: Convert to fraction form
   31,456/68,746 = 68,746/x
3. Step 3: Cross multiply
   31,456x = 68,746 × 68,746
4. Step 4: Simplify right side
   31,456x = 4,726,012,516
5. Step 5: Solve for x
   x = 4,726,012,516/31,456
6. Step 6: Final answer
   x = 150,242.01