Finding the Third Proportional to 10,513.50 and 22,666.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,513.50 : 22,666.50 = 22,666.50 : x
2. Step 2: Convert to fraction form
   10,513.50/22,666.50 = 22,666.50/x
3. Step 3: Cross multiply
   10,513.50x = 22,666.50 × 22,666.50
4. Step 4: Simplify right side
   10,513.50x = 513,770,222.25
5. Step 5: Solve for x
   x = 513,770,222.25/10,513.50
6. Step 6: Final answer
   x = 48,867.67