Finding the Third Proportional to 10,300 and 15,738

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300 : 15,738 = 15,738 : x
2. Step 2: Convert to fraction form
   10,300/15,738 = 15,738/x
3. Step 3: Cross multiply
   10,300x = 15,738 × 15,738
4. Step 4: Simplify right side
   10,300x = 247,684,644
5. Step 5: Solve for x
   x = 247,684,644/10,300
6. Step 6: Final answer
   x = 24,047.05