Finding the Third Proportional to 50,394 and 72,847

Step by Step Solution

1. Step 1: Write the proportion equation
   50,394 : 72,847 = 72,847 : x
2. Step 2: Convert to fraction form
   50,394/72,847 = 72,847/x
3. Step 3: Cross multiply
   50,394x = 72,847 × 72,847
4. Step 4: Simplify right side
   50,394x = 5,306,685,409
5. Step 5: Solve for x
   x = 5,306,685,409/50,394
6. Step 6: Final answer
   x = 105,303.91