Finding the Third Proportional to 10,690 and 19,916

Step by Step Solution

1. Step 1: Write the proportion equation
   10,690 : 19,916 = 19,916 : x
2. Step 2: Convert to fraction form
   10,690/19,916 = 19,916/x
3. Step 3: Cross multiply
   10,690x = 19,916 × 19,916
4. Step 4: Simplify right side
   10,690x = 396,647,056
5. Step 5: Solve for x
   x = 396,647,056/10,690
6. Step 6: Final answer
   x = 37,104.50