Finding the Third Proportional to 5,742 and 12,277.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,742 : 12,277.50 = 12,277.50 : x
2. Step 2: Convert to fraction form
   5,742/12,277.50 = 12,277.50/x
3. Step 3: Cross multiply
   5,742x = 12,277.50 × 12,277.50
4. Step 4: Simplify right side
   5,742x = 150,737,006.25
5. Step 5: Solve for x
   x = 150,737,006.25/5,742
6. Step 6: Final answer
   x = 26,251.66