Finding the Third Proportional to 2,984 and 4,589.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,984 : 4,589.50 = 4,589.50 : x
2. Step 2: Convert to fraction form
   2,984/4,589.50 = 4,589.50/x
3. Step 3: Cross multiply
   2,984x = 4,589.50 × 4,589.50
4. Step 4: Simplify right side
   2,984x = 21,063,510.25
5. Step 5: Solve for x
   x = 21,063,510.25/2,984
6. Step 6: Final answer
   x = 7,058.82