Finding the Third Proportional to 10,524 and 23,092

Step by Step Solution

1. Step 1: Write the proportion equation
   10,524 : 23,092 = 23,092 : x
2. Step 2: Convert to fraction form
   10,524/23,092 = 23,092/x
3. Step 3: Cross multiply
   10,524x = 23,092 × 23,092
4. Step 4: Simplify right side
   10,524x = 533,240,464
5. Step 5: Solve for x
   x = 533,240,464/10,524
6. Step 6: Final answer
   x = 50,668.99