Finding the Third Proportional to 31,935 and 49,019

Step by Step Solution

1. Step 1: Write the proportion equation
   31,935 : 49,019 = 49,019 : x
2. Step 2: Convert to fraction form
   31,935/49,019 = 49,019/x
3. Step 3: Cross multiply
   31,935x = 49,019 × 49,019
4. Step 4: Simplify right side
   31,935x = 2,402,862,361
5. Step 5: Solve for x
   x = 2,402,862,361/31,935
6. Step 6: Final answer
   x = 75,242.28