Finding the Third Proportional to 33,978 and 69,468

Step by Step Solution

1. Step 1: Write the proportion equation
   33,978 : 69,468 = 69,468 : x
2. Step 2: Convert to fraction form
   33,978/69,468 = 69,468/x
3. Step 3: Cross multiply
   33,978x = 69,468 × 69,468
4. Step 4: Simplify right side
   33,978x = 4,825,803,024
5. Step 5: Solve for x
   x = 4,825,803,024/33,978
6. Step 6: Final answer
   x = 142,027.28