Finding the Third Proportional to 31,746 and 68,360

Step by Step Solution

1. Step 1: Write the proportion equation
   31,746 : 68,360 = 68,360 : x
2. Step 2: Convert to fraction form
   31,746/68,360 = 68,360/x
3. Step 3: Cross multiply
   31,746x = 68,360 × 68,360
4. Step 4: Simplify right side
   31,746x = 4,673,089,600
5. Step 5: Solve for x
   x = 4,673,089,600/31,746
6. Step 6: Final answer
   x = 147,202.47