Finding the Third Proportional to 31,702 and 49,062

Step by Step Solution

1. Step 1: Write the proportion equation
   31,702 : 49,062 = 49,062 : x
2. Step 2: Convert to fraction form
   31,702/49,062 = 49,062/x
3. Step 3: Cross multiply
   31,702x = 49,062 × 49,062
4. Step 4: Simplify right side
   31,702x = 2,407,079,844
5. Step 5: Solve for x
   x = 2,407,079,844/31,702
6. Step 6: Final answer
   x = 75,928.33