Finding the Third Proportional to 2,704.64 and 5,590.90

Step by Step Solution

1. Step 1: Write the proportion equation
   2,704.64 : 5,590.90 = 5,590.90 : x
2. Step 2: Convert to fraction form
   2,704.64/5,590.90 = 5,590.90/x
3. Step 3: Cross multiply
   2,704.64x = 5,590.90 × 5,590.90
4. Step 4: Simplify right side
   2,704.64x = 31,258,145.34
5. Step 5: Solve for x
   x = 31,258,145.34/2,704.64
6. Step 6: Final answer
   x = 11,557.23