Finding the Third Proportional to 1,816.75 and 2,086.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,816.75 : 2,086.25 = 2,086.25 : x
2. Step 2: Convert to fraction form
   1,816.75/2,086.25 = 2,086.25/x
3. Step 3: Cross multiply
   1,816.75x = 2,086.25 × 2,086.25
4. Step 4: Simplify right side
   1,816.75x = 4,352,439.06
5. Step 5: Solve for x
   x = 4,352,439.06/1,816.75
6. Step 6: Final answer
   x = 2,395.73