Finding the Third Proportional to 33,186 and 69,450

Step by Step Solution

1. Step 1: Write the proportion equation
   33,186 : 69,450 = 69,450 : x
2. Step 2: Convert to fraction form
   33,186/69,450 = 69,450/x
3. Step 3: Cross multiply
   33,186x = 69,450 × 69,450
4. Step 4: Simplify right side
   33,186x = 4,823,302,500
5. Step 5: Solve for x
   x = 4,823,302,500/33,186
6. Step 6: Final answer
   x = 145,341.48