Finding the Third Proportional to 32,351 and 67,780

Step by Step Solution

1. Step 1: Write the proportion equation
   32,351 : 67,780 = 67,780 : x
2. Step 2: Convert to fraction form
   32,351/67,780 = 67,780/x
3. Step 3: Cross multiply
   32,351x = 67,780 × 67,780
4. Step 4: Simplify right side
   32,351x = 4,594,128,400
5. Step 5: Solve for x
   x = 4,594,128,400/32,351
6. Step 6: Final answer
   x = 142,008.85