Finding the Third Proportional to 10,806 and 13,807

Step by Step Solution

1. Step 1: Write the proportion equation
   10,806 : 13,807 = 13,807 : x
2. Step 2: Convert to fraction form
   10,806/13,807 = 13,807/x
3. Step 3: Cross multiply
   10,806x = 13,807 × 13,807
4. Step 4: Simplify right side
   10,806x = 190,633,249
5. Step 5: Solve for x
   x = 190,633,249/10,806
6. Step 6: Final answer
   x = 17,641.43