Finding the Third Proportional to 10,690 and 23,024

Step by Step Solution

1. Step 1: Write the proportion equation
   10,690 : 23,024 = 23,024 : x
2. Step 2: Convert to fraction form
   10,690/23,024 = 23,024/x
3. Step 3: Cross multiply
   10,690x = 23,024 × 23,024
4. Step 4: Simplify right side
   10,690x = 530,104,576
5. Step 5: Solve for x
   x = 530,104,576/10,690
6. Step 6: Final answer
   x = 49,588.83