Finding the Third Proportional to 23,966 and 52,820

Step by Step Solution

1. Step 1: Write the proportion equation
   23,966 : 52,820 = 52,820 : x
2. Step 2: Convert to fraction form
   23,966/52,820 = 52,820/x
3. Step 3: Cross multiply
   23,966x = 52,820 × 52,820
4. Step 4: Simplify right side
   23,966x = 2,789,952,400
5. Step 5: Solve for x
   x = 2,789,952,400/23,966
6. Step 6: Final answer
   x = 116,412.93