Finding the Third Proportional to 32,142 and 68,712

Step by Step Solution

1. Step 1: Write the proportion equation
   32,142 : 68,712 = 68,712 : x
2. Step 2: Convert to fraction form
   32,142/68,712 = 68,712/x
3. Step 3: Cross multiply
   32,142x = 68,712 × 68,712
4. Step 4: Simplify right side
   32,142x = 4,721,338,944
5. Step 5: Solve for x
   x = 4,721,338,944/32,142
6. Step 6: Final answer
   x = 146,890.02