Finding the Third Proportional to 5,754 and 12,038

Step by Step Solution

1. Step 1: Write the proportion equation
   5,754 : 12,038 = 12,038 : x
2. Step 2: Convert to fraction form
   5,754/12,038 = 12,038/x
3. Step 3: Cross multiply
   5,754x = 12,038 × 12,038
4. Step 4: Simplify right side
   5,754x = 144,913,444
5. Step 5: Solve for x
   x = 144,913,444/5,754
6. Step 6: Final answer
   x = 25,184.82