Finding the Third Proportional to 2,325 and 5,680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,325 : 5,680.50 = 5,680.50 : x
2. Step 2: Convert to fraction form
   2,325/5,680.50 = 5,680.50/x
3. Step 3: Cross multiply
   2,325x = 5,680.50 × 5,680.50
4. Step 4: Simplify right side
   2,325x = 32,268,080.25
5. Step 5: Solve for x
   x = 32,268,080.25/2,325
6. Step 6: Final answer
   x = 13,878.74