Finding the Third Proportional to 2,785.57 and 6,117.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,785.57 : 6,117.89 = 6,117.89 : x
2. Step 2: Convert to fraction form
   2,785.57/6,117.89 = 6,117.89/x
3. Step 3: Cross multiply
   2,785.57x = 6,117.89 × 6,117.89
4. Step 4: Simplify right side
   2,785.57x = 37,428,585.70
5. Step 5: Solve for x
   x = 37,428,585.70/2,785.57
6. Step 6: Final answer
   x = 13,436.60