Finding the Third Proportional to 11,072.50 and 24,221.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,072.50 : 24,221.50 = 24,221.50 : x
2. Step 2: Convert to fraction form
   11,072.50/24,221.50 = 24,221.50/x
3. Step 3: Cross multiply
   11,072.50x = 24,221.50 × 24,221.50
4. Step 4: Simplify right side
   11,072.50x = 586,681,062.25
5. Step 5: Solve for x
   x = 586,681,062.25/11,072.50
6. Step 6: Final answer
   x = 52,985.42