Finding the Third Proportional to 31,696 and 49,080

Step by Step Solution

1. Step 1: Write the proportion equation
   31,696 : 49,080 = 49,080 : x
2. Step 2: Convert to fraction form
   31,696/49,080 = 49,080/x
3. Step 3: Cross multiply
   31,696x = 49,080 × 49,080
4. Step 4: Simplify right side
   31,696x = 2,408,846,400
5. Step 5: Solve for x
   x = 2,408,846,400/31,696
6. Step 6: Final answer
   x = 75,998.44