Finding the Third Proportional to 31,451 and 49,089

Step by Step Solution

1. Step 1: Write the proportion equation
   31,451 : 49,089 = 49,089 : x
2. Step 2: Convert to fraction form
   31,451/49,089 = 49,089/x
3. Step 3: Cross multiply
   31,451x = 49,089 × 49,089
4. Step 4: Simplify right side
   31,451x = 2,409,729,921
5. Step 5: Solve for x
   x = 2,409,729,921/31,451
6. Step 6: Final answer
   x = 76,618.55