Finding the Third Proportional to 2,543.91 and 4,091.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,543.91 : 4,091.77 = 4,091.77 : x
2. Step 2: Convert to fraction form
   2,543.91/4,091.77 = 4,091.77/x
3. Step 3: Cross multiply
   2,543.91x = 4,091.77 × 4,091.77
4. Step 4: Simplify right side
   2,543.91x = 16,742,545.93
5. Step 5: Solve for x
   x = 16,742,545.93/2,543.91
6. Step 6: Final answer
   x = 6,581.43