Finding the Third Proportional to 5,329.50 and 7,800

Step by Step Solution

1. Step 1: Write the proportion equation
   5,329.50 : 7,800 = 7,800 : x
2. Step 2: Convert to fraction form
   5,329.50/7,800 = 7,800/x
3. Step 3: Cross multiply
   5,329.50x = 7,800 × 7,800
4. Step 4: Simplify right side
   5,329.50x = 60,840,000
5. Step 5: Solve for x
   x = 60,840,000/5,329.50
6. Step 6: Final answer
   x = 11,415.71