Finding the Third Proportional to 11,548 and 17,405

Step by Step Solution

1. Step 1: Write the proportion equation
   11,548 : 17,405 = 17,405 : x
2. Step 2: Convert to fraction form
   11,548/17,405 = 17,405/x
3. Step 3: Cross multiply
   11,548x = 17,405 × 17,405
4. Step 4: Simplify right side
   11,548x = 302,934,025
5. Step 5: Solve for x
   x = 302,934,025/11,548
6. Step 6: Final answer
   x = 26,232.60