Finding the Third Proportional to 13,038.75 and 25,429.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,038.75 : 25,429.50 = 25,429.50 : x
2. Step 2: Convert to fraction form
   13,038.75/25,429.50 = 25,429.50/x
3. Step 3: Cross multiply
   13,038.75x = 25,429.50 × 25,429.50
4. Step 4: Simplify right side
   13,038.75x = 646,659,470.25
5. Step 5: Solve for x
   x = 646,659,470.25/13,038.75
6. Step 6: Final answer
   x = 49,595.20