Finding the Third Proportional to 10,148.50 and 21,809

Step by Step Solution

1. Step 1: Write the proportion equation
   10,148.50 : 21,809 = 21,809 : x
2. Step 2: Convert to fraction form
   10,148.50/21,809 = 21,809/x
3. Step 3: Cross multiply
   10,148.50x = 21,809 × 21,809
4. Step 4: Simplify right side
   10,148.50x = 475,632,481
5. Step 5: Solve for x
   x = 475,632,481/10,148.50
6. Step 6: Final answer
   x = 46,867.27