Finding the Third Proportional to 23,656 and 52,231

Step by Step Solution

1. Step 1: Write the proportion equation
   23,656 : 52,231 = 52,231 : x
2. Step 2: Convert to fraction form
   23,656/52,231 = 52,231/x
3. Step 3: Cross multiply
   23,656x = 52,231 × 52,231
4. Step 4: Simplify right side
   23,656x = 2,728,077,361
5. Step 5: Solve for x
   x = 2,728,077,361/23,656
6. Step 6: Final answer
   x = 115,322.85