Finding the Third Proportional to 8,147 and 12,707.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,147 : 12,707.50 = 12,707.50 : x
2. Step 2: Convert to fraction form
   8,147/12,707.50 = 12,707.50/x
3. Step 3: Cross multiply
   8,147x = 12,707.50 × 12,707.50
4. Step 4: Simplify right side
   8,147x = 161,480,556.25
5. Step 5: Solve for x
   x = 161,480,556.25/8,147
6. Step 6: Final answer
   x = 19,820.86