Finding the Third Proportional to 31,677 and 50,157

Step by Step Solution

1. Step 1: Write the proportion equation
   31,677 : 50,157 = 50,157 : x
2. Step 2: Convert to fraction form
   31,677/50,157 = 50,157/x
3. Step 3: Cross multiply
   31,677x = 50,157 × 50,157
4. Step 4: Simplify right side
   31,677x = 2,515,724,649
5. Step 5: Solve for x
   x = 2,515,724,649/31,677
6. Step 6: Final answer
   x = 79,418.02