Finding the Third Proportional to 11,769.75 and 24,511.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,769.75 : 24,511.50 = 24,511.50 : x
2. Step 2: Convert to fraction form
   11,769.75/24,511.50 = 24,511.50/x
3. Step 3: Cross multiply
   11,769.75x = 24,511.50 × 24,511.50
4. Step 4: Simplify right side
   11,769.75x = 600,813,632.25
5. Step 5: Solve for x
   x = 600,813,632.25/11,769.75
6. Step 6: Final answer
   x = 51,047.27