Finding the Third Proportional to 31,675 and 49,821

Step by Step Solution

1. Step 1: Write the proportion equation
   31,675 : 49,821 = 49,821 : x
2. Step 2: Convert to fraction form
   31,675/49,821 = 49,821/x
3. Step 3: Cross multiply
   31,675x = 49,821 × 49,821
4. Step 4: Simplify right side
   31,675x = 2,482,132,041
5. Step 5: Solve for x
   x = 2,482,132,041/31,675
6. Step 6: Final answer
   x = 78,362.50