Finding the Third Proportional to 1,019.46 and 2,175.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.46 : 2,175.61 = 2,175.61 : x
2. Step 2: Convert to fraction form
   1,019.46/2,175.61 = 2,175.61/x
3. Step 3: Cross multiply
   1,019.46x = 2,175.61 × 2,175.61
4. Step 4: Simplify right side
   1,019.46x = 4,733,276.15
5. Step 5: Solve for x
   x = 4,733,276.15/1,019.46
6. Step 6: Final answer
   x = 4,642.92