Finding the Third Proportional to 1,027 and 1,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,027 : 1,498.50 = 1,498.50 : x
2. Step 2: Convert to fraction form
   1,027/1,498.50 = 1,498.50/x
3. Step 3: Cross multiply
   1,027x = 1,498.50 × 1,498.50
4. Step 4: Simplify right side
   1,027x = 2,245,502.25
5. Step 5: Solve for x
   x = 2,245,502.25/1,027
6. Step 6: Final answer
   x = 2,186.47