Finding the Third Proportional to 2,026.13 and 2,736.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,026.13 : 2,736.56 = 2,736.56 : x
2. Step 2: Convert to fraction form
   2,026.13/2,736.56 = 2,736.56/x
3. Step 3: Cross multiply
   2,026.13x = 2,736.56 × 2,736.56
4. Step 4: Simplify right side
   2,026.13x = 7,488,774.32
5. Step 5: Solve for x
   x = 7,488,774.32/2,026.13
6. Step 6: Final answer
   x = 3,696.11