Finding the Third Proportional to 1,463.25 and 1,661.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,463.25 : 1,661.25 = 1,661.25 : x
2. Step 2: Convert to fraction form
   1,463.25/1,661.25 = 1,661.25/x
3. Step 3: Cross multiply
   1,463.25x = 1,661.25 × 1,661.25
4. Step 4: Simplify right side
   1,463.25x = 2,759,751.56
5. Step 5: Solve for x
   x = 2,759,751.56/1,463.25
6. Step 6: Final answer
   x = 1,886.04