Finding the Third Proportional to 33,539 and 72,223

Step by Step Solution

1. Step 1: Write the proportion equation
   33,539 : 72,223 = 72,223 : x
2. Step 2: Convert to fraction form
   33,539/72,223 = 72,223/x
3. Step 3: Cross multiply
   33,539x = 72,223 × 72,223
4. Step 4: Simplify right side
   33,539x = 5,216,161,729
5. Step 5: Solve for x
   x = 5,216,161,729/33,539
6. Step 6: Final answer
   x = 155,525.26