Finding the Third Proportional to 33,590 and 73,321

Step by Step Solution

1. Step 1: Write the proportion equation
   33,590 : 73,321 = 73,321 : x
2. Step 2: Convert to fraction form
   33,590/73,321 = 73,321/x
3. Step 3: Cross multiply
   33,590x = 73,321 × 73,321
4. Step 4: Simplify right side
   33,590x = 5,375,969,041
5. Step 5: Solve for x
   x = 5,375,969,041/33,590
6. Step 6: Final answer
   x = 160,046.71