Finding the Third Proportional to 23,823 and 52,314

Step by Step Solution

1. Step 1: Write the proportion equation
   23,823 : 52,314 = 52,314 : x
2. Step 2: Convert to fraction form
   23,823/52,314 = 52,314/x
3. Step 3: Cross multiply
   23,823x = 52,314 × 52,314
4. Step 4: Simplify right side
   23,823x = 2,736,754,596
5. Step 5: Solve for x
   x = 2,736,754,596/23,823
6. Step 6: Final answer
   x = 114,878.67