Finding the Third Proportional to 2,410.80 and 3,641.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,410.80 : 3,641.94 = 3,641.94 : x
2. Step 2: Convert to fraction form
   2,410.80/3,641.94 = 3,641.94/x
3. Step 3: Cross multiply
   2,410.80x = 3,641.94 × 3,641.94
4. Step 4: Simplify right side
   2,410.80x = 13,263,737.21
5. Step 5: Solve for x
   x = 13,263,737.21/2,410.80
6. Step 6: Final answer
   x = 5,501.79