Finding the Third Proportional to 722.50 and 1,150

Step by Step Solution

1. Step 1: Write the proportion equation
   722.50 : 1,150 = 1,150 : x
2. Step 2: Convert to fraction form
   722.50/1,150 = 1,150/x
3. Step 3: Cross multiply
   722.50x = 1,150 × 1,150
4. Step 4: Simplify right side
   722.50x = 1,322,500
5. Step 5: Solve for x
   x = 1,322,500/722.50
6. Step 6: Final answer
   x = 1,830.45