Finding the Third Proportional to 2,784.38 and 4,475.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,784.38 : 4,475.25 = 4,475.25 : x
2. Step 2: Convert to fraction form
   2,784.38/4,475.25 = 4,475.25/x
3. Step 3: Cross multiply
   2,784.38x = 4,475.25 × 4,475.25
4. Step 4: Simplify right side
   2,784.38x = 20,027,862.56
5. Step 5: Solve for x
   x = 20,027,862.56/2,784.38
6. Step 6: Final answer
   x = 7,192.95