Finding the Third Proportional to 10,139 and 15,166

Step by Step Solution

1. Step 1: Write the proportion equation
   10,139 : 15,166 = 15,166 : x
2. Step 2: Convert to fraction form
   10,139/15,166 = 15,166/x
3. Step 3: Cross multiply
   10,139x = 15,166 × 15,166
4. Step 4: Simplify right side
   10,139x = 230,007,556
5. Step 5: Solve for x
   x = 230,007,556/10,139
6. Step 6: Final answer
   x = 22,685.43