Finding the Third Proportional to 2,977 and 3,909.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,977 : 3,909.50 = 3,909.50 : x
2. Step 2: Convert to fraction form
   2,977/3,909.50 = 3,909.50/x
3. Step 3: Cross multiply
   2,977x = 3,909.50 × 3,909.50
4. Step 4: Simplify right side
   2,977x = 15,284,190.25
5. Step 5: Solve for x
   x = 15,284,190.25/2,977
6. Step 6: Final answer
   x = 5,134.09