Finding the Third Proportional to 31,986 and 50,174

Step by Step Solution

1. Step 1: Write the proportion equation
   31,986 : 50,174 = 50,174 : x
2. Step 2: Convert to fraction form
   31,986/50,174 = 50,174/x
3. Step 3: Cross multiply
   31,986x = 50,174 × 50,174
4. Step 4: Simplify right side
   31,986x = 2,517,430,276
5. Step 5: Solve for x
   x = 2,517,430,276/31,986
6. Step 6: Final answer
   x = 78,704.13