Finding the Third Proportional to 1,584.38 and 2,377.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584.38 : 2,377.50 = 2,377.50 : x
2. Step 2: Convert to fraction form
   1,584.38/2,377.50 = 2,377.50/x
3. Step 3: Cross multiply
   1,584.38x = 2,377.50 × 2,377.50
4. Step 4: Simplify right side
   1,584.38x = 5,652,506.25
5. Step 5: Solve for x
   x = 5,652,506.25/1,584.38
6. Step 6: Final answer
   x = 3,567.66