Finding the Third Proportional to 9,206 and 13,810

Step by Step Solution

1. Step 1: Write the proportion equation
   9,206 : 13,810 = 13,810 : x
2. Step 2: Convert to fraction form
   9,206/13,810 = 13,810/x
3. Step 3: Cross multiply
   9,206x = 13,810 × 13,810
4. Step 4: Simplify right side
   9,206x = 190,716,100
5. Step 5: Solve for x
   x = 190,716,100/9,206
6. Step 6: Final answer
   x = 20,716.50