Finding the Third Proportional to 1,763.50 and 2,319.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,763.50 : 2,319.25 = 2,319.25 : x
2. Step 2: Convert to fraction form
   1,763.50/2,319.25 = 2,319.25/x
3. Step 3: Cross multiply
   1,763.50x = 2,319.25 × 2,319.25
4. Step 4: Simplify right side
   1,763.50x = 5,378,920.56
5. Step 5: Solve for x
   x = 5,378,920.56/1,763.50
6. Step 6: Final answer
   x = 3,050.14