Finding the Third Proportional to 33,190 and 69,458

Step by Step Solution

1. Step 1: Write the proportion equation
   33,190 : 69,458 = 69,458 : x
2. Step 2: Convert to fraction form
   33,190/69,458 = 69,458/x
3. Step 3: Cross multiply
   33,190x = 69,458 × 69,458
4. Step 4: Simplify right side
   33,190x = 4,824,413,764
5. Step 5: Solve for x
   x = 4,824,413,764/33,190
6. Step 6: Final answer
   x = 145,357.45