Finding the Third Proportional to 32,320 and 67,408

Step by Step Solution

1. Step 1: Write the proportion equation
   32,320 : 67,408 = 67,408 : x
2. Step 2: Convert to fraction form
   32,320/67,408 = 67,408/x
3. Step 3: Cross multiply
   32,320x = 67,408 × 67,408
4. Step 4: Simplify right side
   32,320x = 4,543,838,464
5. Step 5: Solve for x
   x = 4,543,838,464/32,320
6. Step 6: Final answer
   x = 140,589.06