Finding the Third Proportional to 23,728 and 35,526

Step by Step Solution

1. Step 1: Write the proportion equation
   23,728 : 35,526 = 35,526 : x
2. Step 2: Convert to fraction form
   23,728/35,526 = 35,526/x
3. Step 3: Cross multiply
   23,728x = 35,526 × 35,526
4. Step 4: Simplify right side
   23,728x = 1,262,096,676
5. Step 5: Solve for x
   x = 1,262,096,676/23,728
6. Step 6: Final answer
   x = 53,190.18