Finding the Third Proportional to 2,611.69 and 5,699.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,611.69 : 5,699.81 = 5,699.81 : x
2. Step 2: Convert to fraction form
   2,611.69/5,699.81 = 5,699.81/x
3. Step 3: Cross multiply
   2,611.69x = 5,699.81 × 5,699.81
4. Step 4: Simplify right side
   2,611.69x = 32,487,862.54
5. Step 5: Solve for x
   x = 32,487,862.54/2,611.69
6. Step 6: Final answer
   x = 12,439.41