Finding the Third Proportional to 49,684 and 72,942

Step by Step Solution

1. Step 1: Write the proportion equation
   49,684 : 72,942 = 72,942 : x
2. Step 2: Convert to fraction form
   49,684/72,942 = 72,942/x
3. Step 3: Cross multiply
   49,684x = 72,942 × 72,942
4. Step 4: Simplify right side
   49,684x = 5,320,535,364
5. Step 5: Solve for x
   x = 5,320,535,364/49,684
6. Step 6: Final answer
   x = 107,087.50