Finding the Third Proportional to 23,538 and 51,814

Step by Step Solution

1. Step 1: Write the proportion equation
   23,538 : 51,814 = 51,814 : x
2. Step 2: Convert to fraction form
   23,538/51,814 = 51,814/x
3. Step 3: Cross multiply
   23,538x = 51,814 × 51,814
4. Step 4: Simplify right side
   23,538x = 2,684,690,596
5. Step 5: Solve for x
   x = 2,684,690,596/23,538
6. Step 6: Final answer
   x = 114,057.72