Finding the Third Proportional to 33,480 and 69,738

Step by Step Solution

1. Step 1: Write the proportion equation
   33,480 : 69,738 = 69,738 : x
2. Step 2: Convert to fraction form
   33,480/69,738 = 69,738/x
3. Step 3: Cross multiply
   33,480x = 69,738 × 69,738
4. Step 4: Simplify right side
   33,480x = 4,863,388,644
5. Step 5: Solve for x
   x = 4,863,388,644/33,480
6. Step 6: Final answer
   x = 145,262.50