Finding the Third Proportional to 31,806 and 50,349

Step by Step Solution

1. Step 1: Write the proportion equation
   31,806 : 50,349 = 50,349 : x
2. Step 2: Convert to fraction form
   31,806/50,349 = 50,349/x
3. Step 3: Cross multiply
   31,806x = 50,349 × 50,349
4. Step 4: Simplify right side
   31,806x = 2,535,021,801
5. Step 5: Solve for x
   x = 2,535,021,801/31,806
6. Step 6: Final answer
   x = 79,702.63