Finding the Third Proportional to 9,726 and 15,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,726 : 15,019.50 = 15,019.50 : x
2. Step 2: Convert to fraction form
   9,726/15,019.50 = 15,019.50/x
3. Step 3: Cross multiply
   9,726x = 15,019.50 × 15,019.50
4. Step 4: Simplify right side
   9,726x = 225,585,380.25
5. Step 5: Solve for x
   x = 225,585,380.25/9,726
6. Step 6: Final answer
   x = 23,194.06