Finding the Third Proportional to 2,602.13 and 5,690.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,602.13 : 5,690.25 = 5,690.25 : x
2. Step 2: Convert to fraction form
   2,602.13/5,690.25 = 5,690.25/x
3. Step 3: Cross multiply
   2,602.13x = 5,690.25 × 5,690.25
4. Step 4: Simplify right side
   2,602.13x = 32,378,945.06
5. Step 5: Solve for x
   x = 32,378,945.06/2,602.13
6. Step 6: Final answer
   x = 12,443.27