Finding the Third Proportional to 31,996 and 51,117

Step by Step Solution

1. Step 1: Write the proportion equation
   31,996 : 51,117 = 51,117 : x
2. Step 2: Convert to fraction form
   31,996/51,117 = 51,117/x
3. Step 3: Cross multiply
   31,996x = 51,117 × 51,117
4. Step 4: Simplify right side
   31,996x = 2,612,947,689
5. Step 5: Solve for x
   x = 2,612,947,689/31,996
6. Step 6: Final answer
   x = 81,664.82