Finding the Third Proportional to 32,642 and 67,216

Step by Step Solution

1. Step 1: Write the proportion equation
   32,642 : 67,216 = 67,216 : x
2. Step 2: Convert to fraction form
   32,642/67,216 = 67,216/x
3. Step 3: Cross multiply
   32,642x = 67,216 × 67,216
4. Step 4: Simplify right side
   32,642x = 4,517,990,656
5. Step 5: Solve for x
   x = 4,517,990,656/32,642
6. Step 6: Final answer
   x = 138,410.35