Finding the Third Proportional to 32,256 and 68,886

Step by Step Solution

1. Step 1: Write the proportion equation
   32,256 : 68,886 = 68,886 : x
2. Step 2: Convert to fraction form
   32,256/68,886 = 68,886/x
3. Step 3: Cross multiply
   32,256x = 68,886 × 68,886
4. Step 4: Simplify right side
   32,256x = 4,745,280,996
5. Step 5: Solve for x
   x = 4,745,280,996/32,256
6. Step 6: Final answer
   x = 147,113.13