Finding the Third Proportional to 33,434 and 73,429

Step by Step Solution

1. Step 1: Write the proportion equation
   33,434 : 73,429 = 73,429 : x
2. Step 2: Convert to fraction form
   33,434/73,429 = 73,429/x
3. Step 3: Cross multiply
   33,434x = 73,429 × 73,429
4. Step 4: Simplify right side
   33,434x = 5,391,818,041
5. Step 5: Solve for x
   x = 5,391,818,041/33,434
6. Step 6: Final answer
   x = 161,267.51