Finding the Third Proportional to 677 and 1,018.50

Step by Step Solution

1. Step 1: Write the proportion equation
   677 : 1,018.50 = 1,018.50 : x
2. Step 2: Convert to fraction form
   677/1,018.50 = 1,018.50/x
3. Step 3: Cross multiply
   677x = 1,018.50 × 1,018.50
4. Step 4: Simplify right side
   677x = 1,037,342.25
5. Step 5: Solve for x
   x = 1,037,342.25/677
6. Step 6: Final answer
   x = 1,532.26