Finding the Third Proportional to 6,038 and 12,494.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,038 : 12,494.50 = 12,494.50 : x
2. Step 2: Convert to fraction form
   6,038/12,494.50 = 12,494.50/x
3. Step 3: Cross multiply
   6,038x = 12,494.50 × 12,494.50
4. Step 4: Simplify right side
   6,038x = 156,112,530.25
5. Step 5: Solve for x
   x = 156,112,530.25/6,038
6. Step 6: Final answer
   x = 25,855.01