Finding the Third Proportional to 1,026.58 and 2,245.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.58 : 2,245.38 = 2,245.38 : x
2. Step 2: Convert to fraction form
   1,026.58/2,245.38 = 2,245.38/x
3. Step 3: Cross multiply
   1,026.58x = 2,245.38 × 2,245.38
4. Step 4: Simplify right side
   1,026.58x = 5,041,717.66
5. Step 5: Solve for x
   x = 5,041,717.66/1,026.58
6. Step 6: Final answer
   x = 4,911.18