Finding the Third Proportional to 10,966 and 23,292

Step by Step Solution

1. Step 1: Write the proportion equation
   10,966 : 23,292 = 23,292 : x
2. Step 2: Convert to fraction form
   10,966/23,292 = 23,292/x
3. Step 3: Cross multiply
   10,966x = 23,292 × 23,292
4. Step 4: Simplify right side
   10,966x = 542,517,264
5. Step 5: Solve for x
   x = 542,517,264/10,966
6. Step 6: Final answer
   x = 49,472.67