Finding the Third Proportional to 31,398 and 73,632

Step by Step Solution

1. Step 1: Write the proportion equation
   31,398 : 73,632 = 73,632 : x
2. Step 2: Convert to fraction form
   31,398/73,632 = 73,632/x
3. Step 3: Cross multiply
   31,398x = 73,632 × 73,632
4. Step 4: Simplify right side
   31,398x = 5,421,671,424
5. Step 5: Solve for x
   x = 5,421,671,424/31,398
6. Step 6: Final answer
   x = 172,675.69