Finding the Third Proportional to 5,040 and 10,690

Step by Step Solution

1. Step 1: Write the proportion equation
   5,040 : 10,690 = 10,690 : x
2. Step 2: Convert to fraction form
   5,040/10,690 = 10,690/x
3. Step 3: Cross multiply
   5,040x = 10,690 × 10,690
4. Step 4: Simplify right side
   5,040x = 114,276,100
5. Step 5: Solve for x
   x = 114,276,100/5,040
6. Step 6: Final answer
   x = 22,673.83