Finding the Third Proportional to 10,665.75 and 22,966.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,665.75 : 22,966.50 = 22,966.50 : x
2. Step 2: Convert to fraction form
   10,665.75/22,966.50 = 22,966.50/x
3. Step 3: Cross multiply
   10,665.75x = 22,966.50 × 22,966.50
4. Step 4: Simplify right side
   10,665.75x = 527,460,122.25
5. Step 5: Solve for x
   x = 527,460,122.25/10,665.75
6. Step 6: Final answer
   x = 49,453.64