Finding the Third Proportional to 10,601 and 23,287

Step by Step Solution

1. Step 1: Write the proportion equation
   10,601 : 23,287 = 23,287 : x
2. Step 2: Convert to fraction form
   10,601/23,287 = 23,287/x
3. Step 3: Cross multiply
   10,601x = 23,287 × 23,287
4. Step 4: Simplify right side
   10,601x = 542,284,369
5. Step 5: Solve for x
   x = 542,284,369/10,601
6. Step 6: Final answer
   x = 51,154.08