Finding the Third Proportional to 31,994 and 69,811

Step by Step Solution

1. Step 1: Write the proportion equation
   31,994 : 69,811 = 69,811 : x
2. Step 2: Convert to fraction form
   31,994/69,811 = 69,811/x
3. Step 3: Cross multiply
   31,994x = 69,811 × 69,811
4. Step 4: Simplify right side
   31,994x = 4,873,575,721
5. Step 5: Solve for x
   x = 4,873,575,721/31,994
6. Step 6: Final answer
   x = 152,327.80