Finding the Third Proportional to 31,116 and 49,770

Step by Step Solution

1. Step 1: Write the proportion equation
   31,116 : 49,770 = 49,770 : x
2. Step 2: Convert to fraction form
   31,116/49,770 = 49,770/x
3. Step 3: Cross multiply
   31,116x = 49,770 × 49,770
4. Step 4: Simplify right side
   31,116x = 2,477,052,900
5. Step 5: Solve for x
   x = 2,477,052,900/31,116
6. Step 6: Final answer
   x = 79,607.05