Finding the Third Proportional to 33,031 and 72,623

Step by Step Solution

1. Step 1: Write the proportion equation
   33,031 : 72,623 = 72,623 : x
2. Step 2: Convert to fraction form
   33,031/72,623 = 72,623/x
3. Step 3: Cross multiply
   33,031x = 72,623 × 72,623
4. Step 4: Simplify right side
   33,031x = 5,274,100,129
5. Step 5: Solve for x
   x = 5,274,100,129/33,031
6. Step 6: Final answer
   x = 159,671.22