Finding the Third Proportional to 33,086 and 72,122

Step by Step Solution

1. Step 1: Write the proportion equation
   33,086 : 72,122 = 72,122 : x
2. Step 2: Convert to fraction form
   33,086/72,122 = 72,122/x
3. Step 3: Cross multiply
   33,086x = 72,122 × 72,122
4. Step 4: Simplify right side
   33,086x = 5,201,582,884
5. Step 5: Solve for x
   x = 5,201,582,884/33,086
6. Step 6: Final answer
   x = 157,214.01