Finding the Third Proportional to 5,632.50 and 7,679.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,632.50 : 7,679.25 = 7,679.25 : x
2. Step 2: Convert to fraction form
   5,632.50/7,679.25 = 7,679.25/x
3. Step 3: Cross multiply
   5,632.50x = 7,679.25 × 7,679.25
4. Step 4: Simplify right side
   5,632.50x = 58,970,880.56
5. Step 5: Solve for x
   x = 58,970,880.56/5,632.50
6. Step 6: Final answer
   x = 10,469.75