Finding the Third Proportional to 10,975.50 and 24,190.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,975.50 : 24,190.50 = 24,190.50 : x
2. Step 2: Convert to fraction form
   10,975.50/24,190.50 = 24,190.50/x
3. Step 3: Cross multiply
   10,975.50x = 24,190.50 × 24,190.50
4. Step 4: Simplify right side
   10,975.50x = 585,180,290.25
5. Step 5: Solve for x
   x = 585,180,290.25/10,975.50
6. Step 6: Final answer
   x = 53,316.96