Finding the Third Proportional to 31,275 and 63,823

Step by Step Solution

1. Step 1: Write the proportion equation
   31,275 : 63,823 = 63,823 : x
2. Step 2: Convert to fraction form
   31,275/63,823 = 63,823/x
3. Step 3: Cross multiply
   31,275x = 63,823 × 63,823
4. Step 4: Simplify right side
   31,275x = 4,073,375,329
5. Step 5: Solve for x
   x = 4,073,375,329/31,275
6. Step 6: Final answer
   x = 130,243.82