Finding the Third Proportional to 23,558 and 51,166

Step by Step Solution

1. Step 1: Write the proportion equation
   23,558 : 51,166 = 51,166 : x
2. Step 2: Convert to fraction form
   23,558/51,166 = 51,166/x
3. Step 3: Cross multiply
   23,558x = 51,166 × 51,166
4. Step 4: Simplify right side
   23,558x = 2,617,959,556
5. Step 5: Solve for x
   x = 2,617,959,556/23,558
6. Step 6: Final answer
   x = 111,128.26