Finding the Third Proportional to 32,018 and 67,660

Step by Step Solution

1. Step 1: Write the proportion equation
   32,018 : 67,660 = 67,660 : x
2. Step 2: Convert to fraction form
   32,018/67,660 = 67,660/x
3. Step 3: Cross multiply
   32,018x = 67,660 × 67,660
4. Step 4: Simplify right side
   32,018x = 4,577,875,600
5. Step 5: Solve for x
   x = 4,577,875,600/32,018
6. Step 6: Final answer
   x = 142,978.19