Finding the Third Proportional to 2,265 and 2,983.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,265 : 2,983.50 = 2,983.50 : x
2. Step 2: Convert to fraction form
   2,265/2,983.50 = 2,983.50/x
3. Step 3: Cross multiply
   2,265x = 2,983.50 × 2,983.50
4. Step 4: Simplify right side
   2,265x = 8,901,272.25
5. Step 5: Solve for x
   x = 8,901,272.25/2,265
6. Step 6: Final answer
   x = 3,929.92