Finding the Third Proportional to 10,986.75 and 24,214.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,986.75 : 24,214.50 = 24,214.50 : x
2. Step 2: Convert to fraction form
   10,986.75/24,214.50 = 24,214.50/x
3. Step 3: Cross multiply
   10,986.75x = 24,214.50 × 24,214.50
4. Step 4: Simplify right side
   10,986.75x = 586,342,010.25
5. Step 5: Solve for x
   x = 586,342,010.25/10,986.75
6. Step 6: Final answer
   x = 53,368.10