Finding the Third Proportional to 2,980 and 4,303.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,980 : 4,303.50 = 4,303.50 : x
2. Step 2: Convert to fraction form
   2,980/4,303.50 = 4,303.50/x
3. Step 3: Cross multiply
   2,980x = 4,303.50 × 4,303.50
4. Step 4: Simplify right side
   2,980x = 18,520,112.25
5. Step 5: Solve for x
   x = 18,520,112.25/2,980
6. Step 6: Final answer
   x = 6,214.80