Finding the Third Proportional to 32,388 and 67,680

Step by Step Solution

1. Step 1: Write the proportion equation
   32,388 : 67,680 = 67,680 : x
2. Step 2: Convert to fraction form
   32,388/67,680 = 67,680/x
3. Step 3: Cross multiply
   32,388x = 67,680 × 67,680
4. Step 4: Simplify right side
   32,388x = 4,580,582,400
5. Step 5: Solve for x
   x = 4,580,582,400/32,388
6. Step 6: Final answer
   x = 141,428.38