Finding the Third Proportional to 1,380.50 and 2,084

Step by Step Solution

1. Step 1: Write the proportion equation
   1,380.50 : 2,084 = 2,084 : x
2. Step 2: Convert to fraction form
   1,380.50/2,084 = 2,084/x
3. Step 3: Cross multiply
   1,380.50x = 2,084 × 2,084
4. Step 4: Simplify right side
   1,380.50x = 4,343,056
5. Step 5: Solve for x
   x = 4,343,056/1,380.50
6. Step 6: Final answer
   x = 3,146.00