Finding the Third Proportional to 10,092 and 15,898

Step by Step Solution

1. Step 1: Write the proportion equation
   10,092 : 15,898 = 15,898 : x
2. Step 2: Convert to fraction form
   10,092/15,898 = 15,898/x
3. Step 3: Cross multiply
   10,092x = 15,898 × 15,898
4. Step 4: Simplify right side
   10,092x = 252,746,404
5. Step 5: Solve for x
   x = 252,746,404/10,092
6. Step 6: Final answer
   x = 25,044.23