Finding the Third Proportional to 23,814 and 52,164

Step by Step Solution

1. Step 1: Write the proportion equation
   23,814 : 52,164 = 52,164 : x
2. Step 2: Convert to fraction form
   23,814/52,164 = 52,164/x
3. Step 3: Cross multiply
   23,814x = 52,164 × 52,164
4. Step 4: Simplify right side
   23,814x = 2,721,082,896
5. Step 5: Solve for x
   x = 2,721,082,896/23,814
6. Step 6: Final answer
   x = 114,264