Finding the Third Proportional to 22,164 and 33,262

Step by Step Solution

1. Step 1: Write the proportion equation
   22,164 : 33,262 = 33,262 : x
2. Step 2: Convert to fraction form
   22,164/33,262 = 33,262/x
3. Step 3: Cross multiply
   22,164x = 33,262 × 33,262
4. Step 4: Simplify right side
   22,164x = 1,106,360,644
5. Step 5: Solve for x
   x = 1,106,360,644/22,164
6. Step 6: Final answer
   x = 49,917.01