Finding the Third Proportional to 10,092 and 15,229

Step by Step Solution

1. Step 1: Write the proportion equation
   10,092 : 15,229 = 15,229 : x
2. Step 2: Convert to fraction form
   10,092/15,229 = 15,229/x
3. Step 3: Cross multiply
   10,092x = 15,229 × 15,229
4. Step 4: Simplify right side
   10,092x = 231,922,441
5. Step 5: Solve for x
   x = 231,922,441/10,092
6. Step 6: Final answer
   x = 22,980.82