Finding the Third Proportional to 32,340 and 67,446

Step by Step Solution

1. Step 1: Write the proportion equation
   32,340 : 67,446 = 67,446 : x
2. Step 2: Convert to fraction form
   32,340/67,446 = 67,446/x
3. Step 3: Cross multiply
   32,340x = 67,446 × 67,446
4. Step 4: Simplify right side
   32,340x = 4,548,962,916
5. Step 5: Solve for x
   x = 4,548,962,916/32,340
6. Step 6: Final answer
   x = 140,660.57