Finding the Third Proportional to 10,814 and 23,164

Step by Step Solution

1. Step 1: Write the proportion equation
   10,814 : 23,164 = 23,164 : x
2. Step 2: Convert to fraction form
   10,814/23,164 = 23,164/x
3. Step 3: Cross multiply
   10,814x = 23,164 × 23,164
4. Step 4: Simplify right side
   10,814x = 536,570,896
5. Step 5: Solve for x
   x = 536,570,896/10,814
6. Step 6: Final answer
   x = 49,618.17