Finding the Third Proportional to 2,319.50 and 3,592.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,319.50 : 3,592.25 = 3,592.25 : x
2. Step 2: Convert to fraction form
   2,319.50/3,592.25 = 3,592.25/x
3. Step 3: Cross multiply
   2,319.50x = 3,592.25 × 3,592.25
4. Step 4: Simplify right side
   2,319.50x = 12,904,260.06
5. Step 5: Solve for x
   x = 12,904,260.06/2,319.50
6. Step 6: Final answer
   x = 5,563.38