Finding the Third Proportional to 33,238 and 72,308

Step by Step Solution

1. Step 1: Write the proportion equation
   33,238 : 72,308 = 72,308 : x
2. Step 2: Convert to fraction form
   33,238/72,308 = 72,308/x
3. Step 3: Cross multiply
   33,238x = 72,308 × 72,308
4. Step 4: Simplify right side
   33,238x = 5,228,446,864
5. Step 5: Solve for x
   x = 5,228,446,864/33,238
6. Step 6: Final answer
   x = 157,303.29