Finding the Third Proportional to 2,590.31 and 3,785.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,590.31 : 3,785.91 = 3,785.91 : x
2. Step 2: Convert to fraction form
   2,590.31/3,785.91 = 3,785.91/x
3. Step 3: Cross multiply
   2,590.31x = 3,785.91 × 3,785.91
4. Step 4: Simplify right side
   2,590.31x = 14,333,086.13
5. Step 5: Solve for x
   x = 14,333,086.13/2,590.31
6. Step 6: Final answer
   x = 5,533.34