Finding the Third Proportional to 10,180 and 13,526

Step by Step Solution

1. Step 1: Write the proportion equation
   10,180 : 13,526 = 13,526 : x
2. Step 2: Convert to fraction form
   10,180/13,526 = 13,526/x
3. Step 3: Cross multiply
   10,180x = 13,526 × 13,526
4. Step 4: Simplify right side
   10,180x = 182,952,676
5. Step 5: Solve for x
   x = 182,952,676/10,180
6. Step 6: Final answer
   x = 17,971.78