Finding the Third Proportional to 2,124 and 2,890.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,124 : 2,890.50 = 2,890.50 : x
2. Step 2: Convert to fraction form
   2,124/2,890.50 = 2,890.50/x
3. Step 3: Cross multiply
   2,124x = 2,890.50 × 2,890.50
4. Step 4: Simplify right side
   2,124x = 8,354,990.25
5. Step 5: Solve for x
   x = 8,354,990.25/2,124
6. Step 6: Final answer
   x = 3,933.61