Finding the Third Proportional to 2,646.38 and 5,811.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,646.38 : 5,811.38 = 5,811.38 : x
2. Step 2: Convert to fraction form
   2,646.38/5,811.38 = 5,811.38/x
3. Step 3: Cross multiply
   2,646.38x = 5,811.38 × 5,811.38
4. Step 4: Simplify right side
   2,646.38x = 33,772,079.39
5. Step 5: Solve for x
   x = 33,772,079.39/2,646.38
6. Step 6: Final answer
   x = 12,761.64