Finding the Third Proportional to 1,382.06 and 1,974.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,382.06 : 1,974.38 = 1,974.38 : x
2. Step 2: Convert to fraction form
   1,382.06/1,974.38 = 1,974.38/x
3. Step 3: Cross multiply
   1,382.06x = 1,974.38 × 1,974.38
4. Step 4: Simplify right side
   1,382.06x = 3,898,156.64
5. Step 5: Solve for x
   x = 3,898,156.64/1,382.06
6. Step 6: Final answer
   x = 2,820.54