Finding the Third Proportional to 3,838.50 and 5,124.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,838.50 : 5,124.75 = 5,124.75 : x
2. Step 2: Convert to fraction form
   3,838.50/5,124.75 = 5,124.75/x
3. Step 3: Cross multiply
   3,838.50x = 5,124.75 × 5,124.75
4. Step 4: Simplify right side
   3,838.50x = 26,263,062.56
5. Step 5: Solve for x
   x = 26,263,062.56/3,838.50
6. Step 6: Final answer
   x = 6,842.01