Finding the Third Proportional to 11,202 and 24,379.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,202 : 24,379.50 = 24,379.50 : x
2. Step 2: Convert to fraction form
   11,202/24,379.50 = 24,379.50/x
3. Step 3: Cross multiply
   11,202x = 24,379.50 × 24,379.50
4. Step 4: Simplify right side
   11,202x = 594,360,020.25
5. Step 5: Solve for x
   x = 594,360,020.25/11,202
6. Step 6: Final answer
   x = 53,058.38