Finding the Third Proportional to 613.50 and 1,152.75

Step by Step Solution

1. Step 1: Write the proportion equation
   613.50 : 1,152.75 = 1,152.75 : x
2. Step 2: Convert to fraction form
   613.50/1,152.75 = 1,152.75/x
3. Step 3: Cross multiply
   613.50x = 1,152.75 × 1,152.75
4. Step 4: Simplify right side
   613.50x = 1,328,832.56
5. Step 5: Solve for x
   x = 1,328,832.56/613.50
6. Step 6: Final answer
   x = 2,165.99