Finding the Third Proportional to 33,462 and 72,754.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,462 : 72,754.50 = 72,754.50 : x
2. Step 2: Convert to fraction form
   33,462/72,754.50 = 72,754.50/x
3. Step 3: Cross multiply
   33,462x = 72,754.50 × 72,754.50
4. Step 4: Simplify right side
   33,462x = 5,293,217,270.25
5. Step 5: Solve for x
   x = 5,293,217,270.25/33,462
6. Step 6: Final answer
   x = 158,185.92