Finding the Third Proportional to 31,052 and 49,190

Step by Step Solution

1. Step 1: Write the proportion equation
   31,052 : 49,190 = 49,190 : x
2. Step 2: Convert to fraction form
   31,052/49,190 = 49,190/x
3. Step 3: Cross multiply
   31,052x = 49,190 × 49,190
4. Step 4: Simplify right side
   31,052x = 2,419,656,100
5. Step 5: Solve for x
   x = 2,419,656,100/31,052
6. Step 6: Final answer
   x = 77,922.71