Finding the Third Proportional to 4,588 and 5,820

Step by Step Solution

1. Step 1: Write the proportion equation
   4,588 : 5,820 = 5,820 : x
2. Step 2: Convert to fraction form
   4,588/5,820 = 5,820/x
3. Step 3: Cross multiply
   4,588x = 5,820 × 5,820
4. Step 4: Simplify right side
   4,588x = 33,872,400
5. Step 5: Solve for x
   x = 33,872,400/4,588
6. Step 6: Final answer
   x = 7,382.82