Finding the Third Proportional to 34,215 and 50,823

Step by Step Solution

1. Step 1: Write the proportion equation
   34,215 : 50,823 = 50,823 : x
2. Step 2: Convert to fraction form
   34,215/50,823 = 50,823/x
3. Step 3: Cross multiply
   34,215x = 50,823 × 50,823
4. Step 4: Simplify right side
   34,215x = 2,582,977,329
5. Step 5: Solve for x
   x = 2,582,977,329/34,215
6. Step 6: Final answer
   x = 75,492.54