Finding the Third Proportional to 10,147.50 and 19,809

Step by Step Solution

1. Step 1: Write the proportion equation
   10,147.50 : 19,809 = 19,809 : x
2. Step 2: Convert to fraction form
   10,147.50/19,809 = 19,809/x
3. Step 3: Cross multiply
   10,147.50x = 19,809 × 19,809
4. Step 4: Simplify right side
   10,147.50x = 392,396,481
5. Step 5: Solve for x
   x = 392,396,481/10,147.50
6. Step 6: Final answer
   x = 38,669.28