Finding the Third Proportional to 31,982 and 51,093

Step by Step Solution

1. Step 1: Write the proportion equation
   31,982 : 51,093 = 51,093 : x
2. Step 2: Convert to fraction form
   31,982/51,093 = 51,093/x
3. Step 3: Cross multiply
   31,982x = 51,093 × 51,093
4. Step 4: Simplify right side
   31,982x = 2,610,494,649
5. Step 5: Solve for x
   x = 2,610,494,649/31,982
6. Step 6: Final answer
   x = 81,623.87