Finding the Third Proportional to 4,834 and 10,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,834 : 10,540.50 = 10,540.50 : x
2. Step 2: Convert to fraction form
   4,834/10,540.50 = 10,540.50/x
3. Step 3: Cross multiply
   4,834x = 10,540.50 × 10,540.50
4. Step 4: Simplify right side
   4,834x = 111,102,140.25
5. Step 5: Solve for x
   x = 111,102,140.25/4,834
6. Step 6: Final answer
   x = 22,983.48