Finding the Third Proportional to 14,494 and 31,759

Step by Step Solution

1. Step 1: Write the proportion equation
   14,494 : 31,759 = 31,759 : x
2. Step 2: Convert to fraction form
   14,494/31,759 = 31,759/x
3. Step 3: Cross multiply
   14,494x = 31,759 × 31,759
4. Step 4: Simplify right side
   14,494x = 1,008,634,081
5. Step 5: Solve for x
   x = 1,008,634,081/14,494
6. Step 6: Final answer
   x = 69,589.77