Finding the Third Proportional to 31,724 and 68,360

Step by Step Solution

1. Step 1: Write the proportion equation
   31,724 : 68,360 = 68,360 : x
2. Step 2: Convert to fraction form
   31,724/68,360 = 68,360/x
3. Step 3: Cross multiply
   31,724x = 68,360 × 68,360
4. Step 4: Simplify right side
   31,724x = 4,673,089,600
5. Step 5: Solve for x
   x = 4,673,089,600/31,724
6. Step 6: Final answer
   x = 147,304.55