Finding the Third Proportional to 7,816.50 and 13,632.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,816.50 : 13,632.75 = 13,632.75 : x
2. Step 2: Convert to fraction form
   7,816.50/13,632.75 = 13,632.75/x
3. Step 3: Cross multiply
   7,816.50x = 13,632.75 × 13,632.75
4. Step 4: Simplify right side
   7,816.50x = 185,851,872.56
5. Step 5: Solve for x
   x = 185,851,872.56/7,816.50
6. Step 6: Final answer
   x = 23,776.87