Finding the Third Proportional to 33,974 and 69,460

Step by Step Solution

1. Step 1: Write the proportion equation
   33,974 : 69,460 = 69,460 : x
2. Step 2: Convert to fraction form
   33,974/69,460 = 69,460/x
3. Step 3: Cross multiply
   33,974x = 69,460 × 69,460
4. Step 4: Simplify right side
   33,974x = 4,824,691,600
5. Step 5: Solve for x
   x = 4,824,691,600/33,974
6. Step 6: Final answer
   x = 142,011.29