Finding the Third Proportional to 9,864 and 21,550.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,864 : 21,550.50 = 21,550.50 : x
2. Step 2: Convert to fraction form
   9,864/21,550.50 = 21,550.50/x
3. Step 3: Cross multiply
   9,864x = 21,550.50 × 21,550.50
4. Step 4: Simplify right side
   9,864x = 464,424,050.25
5. Step 5: Solve for x
   x = 464,424,050.25/9,864
6. Step 6: Final answer
   x = 47,082.73