Finding the Third Proportional to 32,261 and 67,478

Step by Step Solution

1. Step 1: Write the proportion equation
   32,261 : 67,478 = 67,478 : x
2. Step 2: Convert to fraction form
   32,261/67,478 = 67,478/x
3. Step 3: Cross multiply
   32,261x = 67,478 × 67,478
4. Step 4: Simplify right side
   32,261x = 4,553,280,484
5. Step 5: Solve for x
   x = 4,553,280,484/32,261
6. Step 6: Final answer
   x = 141,138.85