Finding the Third Proportional to 31,994 and 51,116

Step by Step Solution

1. Step 1: Write the proportion equation
   31,994 : 51,116 = 51,116 : x
2. Step 2: Convert to fraction form
   31,994/51,116 = 51,116/x
3. Step 3: Cross multiply
   31,994x = 51,116 × 51,116
4. Step 4: Simplify right side
   31,994x = 2,612,845,456
5. Step 5: Solve for x
   x = 2,612,845,456/31,994
6. Step 6: Final answer
   x = 81,666.73