Finding the Third Proportional to 9,726 and 20,143.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,726 : 20,143.50 = 20,143.50 : x
2. Step 2: Convert to fraction form
   9,726/20,143.50 = 20,143.50/x
3. Step 3: Cross multiply
   9,726x = 20,143.50 × 20,143.50
4. Step 4: Simplify right side
   9,726x = 405,760,592.25
5. Step 5: Solve for x
   x = 405,760,592.25/9,726
6. Step 6: Final answer
   x = 41,719.16