Finding the Third Proportional to 2,613.94 and 5,810.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,613.94 : 5,810.06 = 5,810.06 : x
2. Step 2: Convert to fraction form
   2,613.94/5,810.06 = 5,810.06/x
3. Step 3: Cross multiply
   2,613.94x = 5,810.06 × 5,810.06
4. Step 4: Simplify right side
   2,613.94x = 33,756,826.25
5. Step 5: Solve for x
   x = 33,756,826.25/2,613.94
6. Step 6: Final answer
   x = 12,914.17