Finding the Third Proportional to 11,272.50 and 24,109

Step by Step Solution

1. Step 1: Write the proportion equation
   11,272.50 : 24,109 = 24,109 : x
2. Step 2: Convert to fraction form
   11,272.50/24,109 = 24,109/x
3. Step 3: Cross multiply
   11,272.50x = 24,109 × 24,109
4. Step 4: Simplify right side
   11,272.50x = 581,243,881
5. Step 5: Solve for x
   x = 581,243,881/11,272.50
6. Step 6: Final answer
   x = 51,563.00