Finding the Third Proportional to 2,646.81 and 5,645.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,646.81 : 5,645.13 = 5,645.13 : x
2. Step 2: Convert to fraction form
   2,646.81/5,645.13 = 5,645.13/x
3. Step 3: Cross multiply
   2,646.81x = 5,645.13 × 5,645.13
4. Step 4: Simplify right side
   2,646.81x = 31,867,436.27
5. Step 5: Solve for x
   x = 31,867,436.27/2,646.81
6. Step 6: Final answer
   x = 12,039.93