Finding the Third Proportional to 1,320.50 and 1,886.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,320.50 : 1,886.25 = 1,886.25 : x
2. Step 2: Convert to fraction form
   1,320.50/1,886.25 = 1,886.25/x
3. Step 3: Cross multiply
   1,320.50x = 1,886.25 × 1,886.25
4. Step 4: Simplify right side
   1,320.50x = 3,557,939.06
5. Step 5: Solve for x
   x = 3,557,939.06/1,320.50
6. Step 6: Final answer
   x = 2,694.39