Finding the Third Proportional to 2,972 and 4,620.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,972 : 4,620.50 = 4,620.50 : x
2. Step 2: Convert to fraction form
   2,972/4,620.50 = 4,620.50/x
3. Step 3: Cross multiply
   2,972x = 4,620.50 × 4,620.50
4. Step 4: Simplify right side
   2,972x = 21,349,020.25
5. Step 5: Solve for x
   x = 21,349,020.25/2,972
6. Step 6: Final answer
   x = 7,183.39