Finding the Third Proportional to 2,826.50 and 6,139.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,826.50 : 6,139.38 = 6,139.38 : x
2. Step 2: Convert to fraction form
   2,826.50/6,139.38 = 6,139.38/x
3. Step 3: Cross multiply
   2,826.50x = 6,139.38 × 6,139.38
4. Step 4: Simplify right side
   2,826.50x = 37,691,925.39
5. Step 5: Solve for x
   x = 37,691,925.39/2,826.50
6. Step 6: Final answer
   x = 13,335.19