Finding the Third Proportional to 627.50 and 1,099

Step by Step Solution

1. Step 1: Write the proportion equation
   627.50 : 1,099 = 1,099 : x
2. Step 2: Convert to fraction form
   627.50/1,099 = 1,099/x
3. Step 3: Cross multiply
   627.50x = 1,099 × 1,099
4. Step 4: Simplify right side
   627.50x = 1,207,801
5. Step 5: Solve for x
   x = 1,207,801/627.50
6. Step 6: Final answer
   x = 1,924.78