Finding the Third Proportional to 11,244 and 22,164

Step by Step Solution

1. Step 1: Write the proportion equation
   11,244 : 22,164 = 22,164 : x
2. Step 2: Convert to fraction form
   11,244/22,164 = 22,164/x
3. Step 3: Cross multiply
   11,244x = 22,164 × 22,164
4. Step 4: Simplify right side
   11,244x = 491,242,896
5. Step 5: Solve for x
   x = 491,242,896/11,244
6. Step 6: Final answer
   x = 43,689.34