Finding the Third Proportional to 1,571.91 and 2,382.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,571.91 : 2,382.54 = 2,382.54 : x
2. Step 2: Convert to fraction form
   1,571.91/2,382.54 = 2,382.54/x
3. Step 3: Cross multiply
   1,571.91x = 2,382.54 × 2,382.54
4. Step 4: Simplify right side
   1,571.91x = 5,676,492.38
5. Step 5: Solve for x
   x = 5,676,492.38/1,571.91
6. Step 6: Final answer
   x = 3,611.22