Finding the Third Proportional to 4,844 and 10,269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,844 : 10,269.50 = 10,269.50 : x
2. Step 2: Convert to fraction form
   4,844/10,269.50 = 10,269.50/x
3. Step 3: Cross multiply
   4,844x = 10,269.50 × 10,269.50
4. Step 4: Simplify right side
   4,844x = 105,462,630.25
5. Step 5: Solve for x
   x = 105,462,630.25/4,844
6. Step 6: Final answer
   x = 21,771.81