Finding the Third Proportional to 1,178.72 and 2,590.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,178.72 : 2,590.31 = 2,590.31 : x
2. Step 2: Convert to fraction form
   1,178.72/2,590.31 = 2,590.31/x
3. Step 3: Cross multiply
   1,178.72x = 2,590.31 × 2,590.31
4. Step 4: Simplify right side
   1,178.72x = 6,709,718.85
5. Step 5: Solve for x
   x = 6,709,718.85/1,178.72
6. Step 6: Final answer
   x = 5,692.38