Finding the Third Proportional to 23,815 and 52,238

Step by Step Solution

1. Step 1: Write the proportion equation
   23,815 : 52,238 = 52,238 : x
2. Step 2: Convert to fraction form
   23,815/52,238 = 52,238/x
3. Step 3: Cross multiply
   23,815x = 52,238 × 52,238
4. Step 4: Simplify right side
   23,815x = 2,728,808,644
5. Step 5: Solve for x
   x = 2,728,808,644/23,815
6. Step 6: Final answer
   x = 114,583.61