Finding the Third Proportional to 10,537.59 and 23,019.19

Step by Step Solution

1. Step 1: Write the proportion equation
   10,537.59 : 23,019.19 = 23,019.19 : x
2. Step 2: Convert to fraction form
   10,537.59/23,019.19 = 23,019.19/x
3. Step 3: Cross multiply
   10,537.59x = 23,019.19 × 23,019.19
4. Step 4: Simplify right side
   10,537.59x = 529,882,993.16
5. Step 5: Solve for x
   x = 529,882,993.16/10,537.59
6. Step 6: Final answer
   x = 50,285.01