Finding the Third Proportional to 50,584 and 72,863

Step by Step Solution

1. Step 1: Write the proportion equation
   50,584 : 72,863 = 72,863 : x
2. Step 2: Convert to fraction form
   50,584/72,863 = 72,863/x
3. Step 3: Cross multiply
   50,584x = 72,863 × 72,863
4. Step 4: Simplify right side
   50,584x = 5,309,016,769
5. Step 5: Solve for x
   x = 5,309,016,769/50,584
6. Step 6: Final answer
   x = 104,954.47