Finding the Third Proportional to 67,680 and 101,520

Step by Step Solution

1. Step 1: Write the proportion equation
   67,680 : 101,520 = 101,520 : x
2. Step 2: Convert to fraction form
   67,680/101,520 = 101,520/x
3. Step 3: Cross multiply
   67,680x = 101,520 × 101,520
4. Step 4: Simplify right side
   67,680x = 10,306,310,400
5. Step 5: Solve for x
   x = 10,306,310,400/67,680
6. Step 6: Final answer
   x = 152,280