Finding the Third Proportional to 10,540 and 15,158

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540 : 15,158 = 15,158 : x
2. Step 2: Convert to fraction form
   10,540/15,158 = 15,158/x
3. Step 3: Cross multiply
   10,540x = 15,158 × 15,158
4. Step 4: Simplify right side
   10,540x = 229,764,964
5. Step 5: Solve for x
   x = 229,764,964/10,540
6. Step 6: Final answer
   x = 21,799.33