Finding the Third Proportional to 23,836 and 52,116

Step by Step Solution

1. Step 1: Write the proportion equation
   23,836 : 52,116 = 52,116 : x
2. Step 2: Convert to fraction form
   23,836/52,116 = 52,116/x
3. Step 3: Cross multiply
   23,836x = 52,116 × 52,116
4. Step 4: Simplify right side
   23,836x = 2,716,077,456
5. Step 5: Solve for x
   x = 2,716,077,456/23,836
6. Step 6: Final answer
   x = 113,948.54