Finding the Third Proportional to 1,584.38 and 3,468.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584.38 : 3,468.75 = 3,468.75 : x
2. Step 2: Convert to fraction form
   1,584.38/3,468.75 = 3,468.75/x
3. Step 3: Cross multiply
   1,584.38x = 3,468.75 × 3,468.75
4. Step 4: Simplify right side
   1,584.38x = 12,032,226.56
5. Step 5: Solve for x
   x = 12,032,226.56/1,584.38
6. Step 6: Final answer
   x = 7,594.30