Finding the Third Proportional to 6,240 and 12,277.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,240 : 12,277.50 = 12,277.50 : x
2. Step 2: Convert to fraction form
   6,240/12,277.50 = 12,277.50/x
3. Step 3: Cross multiply
   6,240x = 12,277.50 × 12,277.50
4. Step 4: Simplify right side
   6,240x = 150,737,006.25
5. Step 5: Solve for x
   x = 150,737,006.25/6,240
6. Step 6: Final answer
   x = 24,156.57