Finding the Third Proportional to 10,690 and 23,383

Step by Step Solution

1. Step 1: Write the proportion equation
   10,690 : 23,383 = 23,383 : x
2. Step 2: Convert to fraction form
   10,690/23,383 = 23,383/x
3. Step 3: Cross multiply
   10,690x = 23,383 × 23,383
4. Step 4: Simplify right side
   10,690x = 546,764,689
5. Step 5: Solve for x
   x = 546,764,689/10,690
6. Step 6: Final answer
   x = 51,147.30