Finding the Third Proportional to 2,142.56 and 5,038.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142.56 : 5,038.31 = 5,038.31 : x
2. Step 2: Convert to fraction form
   2,142.56/5,038.31 = 5,038.31/x
3. Step 3: Cross multiply
   2,142.56x = 5,038.31 × 5,038.31
4. Step 4: Simplify right side
   2,142.56x = 25,384,592.85
5. Step 5: Solve for x
   x = 25,384,592.85/2,142.56
6. Step 6: Final answer
   x = 11,847.77