Finding the Third Proportional to 3,532.50 and 7,680

Step by Step Solution

1. Step 1: Write the proportion equation
   3,532.50 : 7,680 = 7,680 : x
2. Step 2: Convert to fraction form
   3,532.50/7,680 = 7,680/x
3. Step 3: Cross multiply
   3,532.50x = 7,680 × 7,680
4. Step 4: Simplify right side
   3,532.50x = 58,982,400
5. Step 5: Solve for x
   x = 58,982,400/3,532.50
6. Step 6: Final answer
   x = 16,697.07