Finding the Third Proportional to 32,002 and 68,648

Step by Step Solution

1. Step 1: Write the proportion equation
   32,002 : 68,648 = 68,648 : x
2. Step 2: Convert to fraction form
   32,002/68,648 = 68,648/x
3. Step 3: Cross multiply
   32,002x = 68,648 × 68,648
4. Step 4: Simplify right side
   32,002x = 4,712,547,904
5. Step 5: Solve for x
   x = 4,712,547,904/32,002
6. Step 6: Final answer
   x = 147,257.92