Finding the Third Proportional to 33,106 and 72,206

Step by Step Solution

1. Step 1: Write the proportion equation
   33,106 : 72,206 = 72,206 : x
2. Step 2: Convert to fraction form
   33,106/72,206 = 72,206/x
3. Step 3: Cross multiply
   33,106x = 72,206 × 72,206
4. Step 4: Simplify right side
   33,106x = 5,213,706,436
5. Step 5: Solve for x
   x = 5,213,706,436/33,106
6. Step 6: Final answer
   x = 157,485.24