Finding the Third Proportional to 23,563 and 51,662

Step by Step Solution

1. Step 1: Write the proportion equation
   23,563 : 51,662 = 51,662 : x
2. Step 2: Convert to fraction form
   23,563/51,662 = 51,662/x
3. Step 3: Cross multiply
   23,563x = 51,662 × 51,662
4. Step 4: Simplify right side
   23,563x = 2,668,962,244
5. Step 5: Solve for x
   x = 2,668,962,244/23,563
6. Step 6: Final answer
   x = 113,269.20