Finding the Third Proportional to 33,117 and 72,183

Step by Step Solution

1. Step 1: Write the proportion equation
   33,117 : 72,183 = 72,183 : x
2. Step 2: Convert to fraction form
   33,117/72,183 = 72,183/x
3. Step 3: Cross multiply
   33,117x = 72,183 × 72,183
4. Step 4: Simplify right side
   33,117x = 5,210,385,489
5. Step 5: Solve for x
   x = 5,210,385,489/33,117
6. Step 6: Final answer
   x = 157,332.65