Finding the Third Proportional to 33,694 and 71,494

Step by Step Solution

1. Step 1: Write the proportion equation
   33,694 : 71,494 = 71,494 : x
2. Step 2: Convert to fraction form
   33,694/71,494 = 71,494/x
3. Step 3: Cross multiply
   33,694x = 71,494 × 71,494
4. Step 4: Simplify right side
   33,694x = 5,111,392,036
5. Step 5: Solve for x
   x = 5,111,392,036/33,694
6. Step 6: Final answer
   x = 151,700.36