Finding the Third Proportional to 31,204 and 73,663

Step by Step Solution

1. Step 1: Write the proportion equation
   31,204 : 73,663 = 73,663 : x
2. Step 2: Convert to fraction form
   31,204/73,663 = 73,663/x
3. Step 3: Cross multiply
   31,204x = 73,663 × 73,663
4. Step 4: Simplify right side
   31,204x = 5,426,237,569
5. Step 5: Solve for x
   x = 5,426,237,569/31,204
6. Step 6: Final answer
   x = 173,895.58