Finding the Third Proportional to 7,669.50 and 12,324.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,669.50 : 12,324.75 = 12,324.75 : x
2. Step 2: Convert to fraction form
   7,669.50/12,324.75 = 12,324.75/x
3. Step 3: Cross multiply
   7,669.50x = 12,324.75 × 12,324.75
4. Step 4: Simplify right side
   7,669.50x = 151,899,462.56
5. Step 5: Solve for x
   x = 151,899,462.56/7,669.50
6. Step 6: Final answer
   x = 19,805.65