Finding the Third Proportional to 49,724 and 72,238

Step by Step Solution

1. Step 1: Write the proportion equation
   49,724 : 72,238 = 72,238 : x
2. Step 2: Convert to fraction form
   49,724/72,238 = 72,238/x
3. Step 3: Cross multiply
   49,724x = 72,238 × 72,238
4. Step 4: Simplify right side
   49,724x = 5,218,328,644
5. Step 5: Solve for x
   x = 5,218,328,644/49,724
6. Step 6: Final answer
   x = 104,945.87