Finding the Third Proportional to 10,616 and 19,906

Step by Step Solution

1. Step 1: Write the proportion equation
   10,616 : 19,906 = 19,906 : x
2. Step 2: Convert to fraction form
   10,616/19,906 = 19,906/x
3. Step 3: Cross multiply
   10,616x = 19,906 × 19,906
4. Step 4: Simplify right side
   10,616x = 396,248,836
5. Step 5: Solve for x
   x = 396,248,836/10,616
6. Step 6: Final answer
   x = 37,325.63