Finding the Third Proportional to 32,016 and 67,656

Step by Step Solution

1. Step 1: Write the proportion equation
   32,016 : 67,656 = 67,656 : x
2. Step 2: Convert to fraction form
   32,016/67,656 = 67,656/x
3. Step 3: Cross multiply
   32,016x = 67,656 × 67,656
4. Step 4: Simplify right side
   32,016x = 4,577,334,336
5. Step 5: Solve for x
   x = 4,577,334,336/32,016
6. Step 6: Final answer
   x = 142,970.21