Finding the Third Proportional to 2,784.38 and 3,665.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,784.38 : 3,665.25 = 3,665.25 : x
2. Step 2: Convert to fraction form
   2,784.38/3,665.25 = 3,665.25/x
3. Step 3: Cross multiply
   2,784.38x = 3,665.25 × 3,665.25
4. Step 4: Simplify right side
   2,784.38x = 13,434,057.56
5. Step 5: Solve for x
   x = 13,434,057.56/2,784.38
6. Step 6: Final answer
   x = 4,824.80