Finding the Third Proportional to 50,582 and 72,865

Step by Step Solution

1. Step 1: Write the proportion equation
   50,582 : 72,865 = 72,865 : x
2. Step 2: Convert to fraction form
   50,582/72,865 = 72,865/x
3. Step 3: Cross multiply
   50,582x = 72,865 × 72,865
4. Step 4: Simplify right side
   50,582x = 5,309,308,225
5. Step 5: Solve for x
   x = 5,309,308,225/50,582
6. Step 6: Final answer
   x = 104,964.38