Finding the Third Proportional to 11,815.50 and 23,971.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,815.50 : 23,971.50 = 23,971.50 : x
2. Step 2: Convert to fraction form
   11,815.50/23,971.50 = 23,971.50/x
3. Step 3: Cross multiply
   11,815.50x = 23,971.50 × 23,971.50
4. Step 4: Simplify right side
   11,815.50x = 574,632,812.25
5. Step 5: Solve for x
   x = 574,632,812.25/11,815.50
6. Step 6: Final answer
   x = 48,633.81