Finding the Third Proportional to 10,666 and 23,405

Step by Step Solution

1. Step 1: Write the proportion equation
   10,666 : 23,405 = 23,405 : x
2. Step 2: Convert to fraction form
   10,666/23,405 = 23,405/x
3. Step 3: Cross multiply
   10,666x = 23,405 × 23,405
4. Step 4: Simplify right side
   10,666x = 547,794,025
5. Step 5: Solve for x
   x = 547,794,025/10,666
6. Step 6: Final answer
   x = 51,358.90