Finding the Third Proportional to 1,026.84 and 1,635.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.84 : 1,635.61 = 1,635.61 : x
2. Step 2: Convert to fraction form
   1,026.84/1,635.61 = 1,635.61/x
3. Step 3: Cross multiply
   1,026.84x = 1,635.61 × 1,635.61
4. Step 4: Simplify right side
   1,026.84x = 2,675,218.03
5. Step 5: Solve for x
   x = 2,675,218.03/1,026.84
6. Step 6: Final answer
   x = 2,605.28