Finding the Third Proportional to 31,976 and 51,080

Step by Step Solution

1. Step 1: Write the proportion equation
   31,976 : 51,080 = 51,080 : x
2. Step 2: Convert to fraction form
   31,976/51,080 = 51,080/x
3. Step 3: Cross multiply
   31,976x = 51,080 × 51,080
4. Step 4: Simplify right side
   31,976x = 2,609,166,400
5. Step 5: Solve for x
   x = 2,609,166,400/31,976
6. Step 6: Final answer
   x = 81,597.65