Finding the Third Proportional to 2,785 and 5,490.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,785 : 5,490.50 = 5,490.50 : x
2. Step 2: Convert to fraction form
   2,785/5,490.50 = 5,490.50/x
3. Step 3: Cross multiply
   2,785x = 5,490.50 × 5,490.50
4. Step 4: Simplify right side
   2,785x = 30,145,590.25
5. Step 5: Solve for x
   x = 30,145,590.25/2,785
6. Step 6: Final answer
   x = 10,824.27