Finding the Third Proportional to 33,702 and 52,326

Step by Step Solution

1. Step 1: Write the proportion equation
   33,702 : 52,326 = 52,326 : x
2. Step 2: Convert to fraction form
   33,702/52,326 = 52,326/x
3. Step 3: Cross multiply
   33,702x = 52,326 × 52,326
4. Step 4: Simplify right side
   33,702x = 2,738,010,276
5. Step 5: Solve for x
   x = 2,738,010,276/33,702
6. Step 6: Final answer
   x = 81,241.77