Finding the Third Proportional to 11,274.50 and 24,112.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,274.50 : 24,112.50 = 24,112.50 : x
2. Step 2: Convert to fraction form
   11,274.50/24,112.50 = 24,112.50/x
3. Step 3: Cross multiply
   11,274.50x = 24,112.50 × 24,112.50
4. Step 4: Simplify right side
   11,274.50x = 581,412,656.25
5. Step 5: Solve for x
   x = 581,412,656.25/11,274.50
6. Step 6: Final answer
   x = 51,568.82