Finding the Third Proportional to 10,259 and 15,099

Step by Step Solution

1. Step 1: Write the proportion equation
   10,259 : 15,099 = 15,099 : x
2. Step 2: Convert to fraction form
   10,259/15,099 = 15,099/x
3. Step 3: Cross multiply
   10,259x = 15,099 × 15,099
4. Step 4: Simplify right side
   10,259x = 227,979,801
5. Step 5: Solve for x
   x = 227,979,801/10,259
6. Step 6: Final answer
   x = 22,222.42