Finding the Third Proportional to 23,164 and 50,648

Step by Step Solution

1. Step 1: Write the proportion equation
   23,164 : 50,648 = 50,648 : x
2. Step 2: Convert to fraction form
   23,164/50,648 = 50,648/x
3. Step 3: Cross multiply
   23,164x = 50,648 × 50,648
4. Step 4: Simplify right side
   23,164x = 2,565,219,904
5. Step 5: Solve for x
   x = 2,565,219,904/23,164
6. Step 6: Final answer
   x = 110,741.66