Finding the Third Proportional to 10,523 and 22,895

Step by Step Solution

1. Step 1: Write the proportion equation
   10,523 : 22,895 = 22,895 : x
2. Step 2: Convert to fraction form
   10,523/22,895 = 22,895/x
3. Step 3: Cross multiply
   10,523x = 22,895 × 22,895
4. Step 4: Simplify right side
   10,523x = 524,181,025
5. Step 5: Solve for x
   x = 524,181,025/10,523
6. Step 6: Final answer
   x = 49,812.89