Finding the Third Proportional to 7,564.50 and 16,632.56

Step by Step Solution

1. Step 1: Write the proportion equation
   7,564.50 : 16,632.56 = 16,632.56 : x
2. Step 2: Convert to fraction form
   7,564.50/16,632.56 = 16,632.56/x
3. Step 3: Cross multiply
   7,564.50x = 16,632.56 × 16,632.56
4. Step 4: Simplify right side
   7,564.50x = 276,642,135.32
5. Step 5: Solve for x
   x = 276,642,135.32/7,564.50
6. Step 6: Final answer
   x = 36,571.11