Finding the Third Proportional to 50,394 and 72,846

Step by Step Solution

1. Step 1: Write the proportion equation
   50,394 : 72,846 = 72,846 : x
2. Step 2: Convert to fraction form
   50,394/72,846 = 72,846/x
3. Step 3: Cross multiply
   50,394x = 72,846 × 72,846
4. Step 4: Simplify right side
   50,394x = 5,306,539,716
5. Step 5: Solve for x
   x = 5,306,539,716/50,394
6. Step 6: Final answer
   x = 105,301.02