Finding the Third Proportional to 2,947 and 3,900.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,947 : 3,900.50 = 3,900.50 : x
2. Step 2: Convert to fraction form
   2,947/3,900.50 = 3,900.50/x
3. Step 3: Cross multiply
   2,947x = 3,900.50 × 3,900.50
4. Step 4: Simplify right side
   2,947x = 15,213,900.25
5. Step 5: Solve for x
   x = 15,213,900.25/2,947
6. Step 6: Final answer
   x = 5,162.50