Finding the Third Proportional to 31,714 and 49,295

Step by Step Solution

1. Step 1: Write the proportion equation
   31,714 : 49,295 = 49,295 : x
2. Step 2: Convert to fraction form
   31,714/49,295 = 49,295/x
3. Step 3: Cross multiply
   31,714x = 49,295 × 49,295
4. Step 4: Simplify right side
   31,714x = 2,429,997,025
5. Step 5: Solve for x
   x = 2,429,997,025/31,714
6. Step 6: Final answer
   x = 76,622.22