Finding the Third Proportional to 23,700 and 51,864

Step by Step Solution

1. Step 1: Write the proportion equation
   23,700 : 51,864 = 51,864 : x
2. Step 2: Convert to fraction form
   23,700/51,864 = 51,864/x
3. Step 3: Cross multiply
   23,700x = 51,864 × 51,864
4. Step 4: Simplify right side
   23,700x = 2,689,874,496
5. Step 5: Solve for x
   x = 2,689,874,496/23,700
6. Step 6: Final answer
   x = 113,496.81