Finding the Third Proportional to 31,463 and 69,919

Step by Step Solution

1. Step 1: Write the proportion equation
   31,463 : 69,919 = 69,919 : x
2. Step 2: Convert to fraction form
   31,463/69,919 = 69,919/x
3. Step 3: Cross multiply
   31,463x = 69,919 × 69,919
4. Step 4: Simplify right side
   31,463x = 4,888,666,561
5. Step 5: Solve for x
   x = 4,888,666,561/31,463
6. Step 6: Final answer
   x = 155,378.27