Finding the Third Proportional to 2,149.50 and 2,900

Step by Step Solution

1. Step 1: Write the proportion equation
   2,149.50 : 2,900 = 2,900 : x
2. Step 2: Convert to fraction form
   2,149.50/2,900 = 2,900/x
3. Step 3: Cross multiply
   2,149.50x = 2,900 × 2,900
4. Step 4: Simplify right side
   2,149.50x = 8,410,000
5. Step 5: Solve for x
   x = 8,410,000/2,149.50
6. Step 6: Final answer
   x = 3,912.54