Finding the Third Proportional to 10,126.27 and 15,138.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,126.27 : 15,138.14 = 15,138.14 : x
2. Step 2: Convert to fraction form
   10,126.27/15,138.14 = 15,138.14/x
3. Step 3: Cross multiply
   10,126.27x = 15,138.14 × 15,138.14
4. Step 4: Simplify right side
   10,126.27x = 229,163,301.58
5. Step 5: Solve for x
   x = 229,163,301.58/10,126.27
6. Step 6: Final answer
   x = 22,630.58