Finding the Third Proportional to 33,166 and 72,498

Step by Step Solution

1. Step 1: Write the proportion equation
   33,166 : 72,498 = 72,498 : x
2. Step 2: Convert to fraction form
   33,166/72,498 = 72,498/x
3. Step 3: Cross multiply
   33,166x = 72,498 × 72,498
4. Step 4: Simplify right side
   33,166x = 5,255,960,004
5. Step 5: Solve for x
   x = 5,255,960,004/33,166
6. Step 6: Final answer
   x = 158,474.34