Finding the Third Proportional to 31,194 and 73,638

Step by Step Solution

1. Step 1: Write the proportion equation
   31,194 : 73,638 = 73,638 : x
2. Step 2: Convert to fraction form
   31,194/73,638 = 73,638/x
3. Step 3: Cross multiply
   31,194x = 73,638 × 73,638
4. Step 4: Simplify right side
   31,194x = 5,422,555,044
5. Step 5: Solve for x
   x = 5,422,555,044/31,194
6. Step 6: Final answer
   x = 173,833.27