Finding the Third Proportional to 610 and 1,133.50

Step by Step Solution

1. Step 1: Write the proportion equation
   610 : 1,133.50 = 1,133.50 : x
2. Step 2: Convert to fraction form
   610/1,133.50 = 1,133.50/x
3. Step 3: Cross multiply
   610x = 1,133.50 × 1,133.50
4. Step 4: Simplify right side
   610x = 1,284,822.25
5. Step 5: Solve for x
   x = 1,284,822.25/610
6. Step 6: Final answer
   x = 2,106.27