Finding the Third Proportional to 2,590.88 and 4,127.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,590.88 : 4,127.06 = 4,127.06 : x
2. Step 2: Convert to fraction form
   2,590.88/4,127.06 = 4,127.06/x
3. Step 3: Cross multiply
   2,590.88x = 4,127.06 × 4,127.06
4. Step 4: Simplify right side
   2,590.88x = 17,032,644.88
5. Step 5: Solve for x
   x = 17,032,644.88/2,590.88
6. Step 6: Final answer
   x = 6,574.09