Finding the Third Proportional to 1,026.84 and 2,249.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.84 : 2,249.86 = 2,249.86 : x
2. Step 2: Convert to fraction form
   1,026.84/2,249.86 = 2,249.86/x
3. Step 3: Cross multiply
   1,026.84x = 2,249.86 × 2,249.86
4. Step 4: Simplify right side
   1,026.84x = 5,061,867.21
5. Step 5: Solve for x
   x = 5,061,867.21/1,026.84
6. Step 6: Final answer
   x = 4,929.54