Finding the Third Proportional to 10,666.50 and 23,452.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,666.50 : 23,452.50 = 23,452.50 : x
2. Step 2: Convert to fraction form
   10,666.50/23,452.50 = 23,452.50/x
3. Step 3: Cross multiply
   10,666.50x = 23,452.50 × 23,452.50
4. Step 4: Simplify right side
   10,666.50x = 550,019,756.25
5. Step 5: Solve for x
   x = 550,019,756.25/10,666.50
6. Step 6: Final answer
   x = 51,565.16