Finding the Third Proportional to 1,004.06 and 1,982.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.06 : 1,982.81 = 1,982.81 : x
2. Step 2: Convert to fraction form
   1,004.06/1,982.81 = 1,982.81/x
3. Step 3: Cross multiply
   1,004.06x = 1,982.81 × 1,982.81
4. Step 4: Simplify right side
   1,004.06x = 3,931,545.41
5. Step 5: Solve for x
   x = 3,931,545.41/1,004.06
6. Step 6: Final answer
   x = 3,915.64