Finding the Third Proportional to 9,836 and 13,526

Step by Step Solution

1. Step 1: Write the proportion equation
   9,836 : 13,526 = 13,526 : x
2. Step 2: Convert to fraction form
   9,836/13,526 = 13,526/x
3. Step 3: Cross multiply
   9,836x = 13,526 × 13,526
4. Step 4: Simplify right side
   9,836x = 182,952,676
5. Step 5: Solve for x
   x = 182,952,676/9,836
6. Step 6: Final answer
   x = 18,600.31