Finding the Third Proportional to 33,849 and 74,262

Step by Step Solution

1. Step 1: Write the proportion equation
   33,849 : 74,262 = 74,262 : x
2. Step 2: Convert to fraction form
   33,849/74,262 = 74,262/x
3. Step 3: Cross multiply
   33,849x = 74,262 × 74,262
4. Step 4: Simplify right side
   33,849x = 5,514,844,644
5. Step 5: Solve for x
   x = 5,514,844,644/33,849
6. Step 6: Final answer
   x = 162,924.89