Finding the Third Proportional to 2,152.83 and 3,160.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,152.83 : 3,160.76 = 3,160.76 : x
2. Step 2: Convert to fraction form
   2,152.83/3,160.76 = 3,160.76/x
3. Step 3: Cross multiply
   2,152.83x = 3,160.76 × 3,160.76
4. Step 4: Simplify right side
   2,152.83x = 9,990,435.09
5. Step 5: Solve for x
   x = 9,990,435.09/2,152.83
6. Step 6: Final answer
   x = 4,640.61