Finding the Third Proportional to 31,664 and 49,436

Step by Step Solution

1. Step 1: Write the proportion equation
   31,664 : 49,436 = 49,436 : x
2. Step 2: Convert to fraction form
   31,664/49,436 = 49,436/x
3. Step 3: Cross multiply
   31,664x = 49,436 × 49,436
4. Step 4: Simplify right side
   31,664x = 2,443,918,096
5. Step 5: Solve for x
   x = 2,443,918,096/31,664
6. Step 6: Final answer
   x = 77,182.86