Finding the Third Proportional to 33,978 and 69,466

Step by Step Solution

1. Step 1: Write the proportion equation
   33,978 : 69,466 = 69,466 : x
2. Step 2: Convert to fraction form
   33,978/69,466 = 69,466/x
3. Step 3: Cross multiply
   33,978x = 69,466 × 69,466
4. Step 4: Simplify right side
   33,978x = 4,825,525,156
5. Step 5: Solve for x
   x = 4,825,525,156/33,978
6. Step 6: Final answer
   x = 142,019.11