Finding the Third Proportional to 4,616 and 5,988

Step by Step Solution

1. Step 1: Write the proportion equation
   4,616 : 5,988 = 5,988 : x
2. Step 2: Convert to fraction form
   4,616/5,988 = 5,988/x
3. Step 3: Cross multiply
   4,616x = 5,988 × 5,988
4. Step 4: Simplify right side
   4,616x = 35,856,144
5. Step 5: Solve for x
   x = 35,856,144/4,616
6. Step 6: Final answer
   x = 7,767.80