Finding the Third Proportional to 32,448 and 68,064

Step by Step Solution

1. Step 1: Write the proportion equation
   32,448 : 68,064 = 68,064 : x
2. Step 2: Convert to fraction form
   32,448/68,064 = 68,064/x
3. Step 3: Cross multiply
   32,448x = 68,064 × 68,064
4. Step 4: Simplify right side
   32,448x = 4,632,708,096
5. Step 5: Solve for x
   x = 4,632,708,096/32,448
6. Step 6: Final answer
   x = 142,773.30