Finding the Third Proportional to 742.50 and 2,018.25

Step by Step Solution

1. Step 1: Write the proportion equation
   742.50 : 2,018.25 = 2,018.25 : x
2. Step 2: Convert to fraction form
   742.50/2,018.25 = 2,018.25/x
3. Step 3: Cross multiply
   742.50x = 2,018.25 × 2,018.25
4. Step 4: Simplify right side
   742.50x = 4,073,333.06
5. Step 5: Solve for x
   x = 4,073,333.06/742.50
6. Step 6: Final answer
   x = 5,485.97