Finding the Third Proportional to 33,462 and 71,754

Step by Step Solution

1. Step 1: Write the proportion equation
   33,462 : 71,754 = 71,754 : x
2. Step 2: Convert to fraction form
   33,462/71,754 = 71,754/x
3. Step 3: Cross multiply
   33,462x = 71,754 × 71,754
4. Step 4: Simplify right side
   33,462x = 5,148,636,516
5. Step 5: Solve for x
   x = 5,148,636,516/33,462
6. Step 6: Final answer
   x = 153,865.18