Finding the Third Proportional to 1,182.50 and 1,600.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.50 : 1,600.75 = 1,600.75 : x
2. Step 2: Convert to fraction form
   1,182.50/1,600.75 = 1,600.75/x
3. Step 3: Cross multiply
   1,182.50x = 1,600.75 × 1,600.75
4. Step 4: Simplify right side
   1,182.50x = 2,562,400.56
5. Step 5: Solve for x
   x = 2,562,400.56/1,182.50
6. Step 6: Final answer
   x = 2,166.93