Finding the Third Proportional to 23,800 and 34,000

Step by Step Solution

1. Step 1: Write the proportion equation
   23,800 : 34,000 = 34,000 : x
2. Step 2: Convert to fraction form
   23,800/34,000 = 34,000/x
3. Step 3: Cross multiply
   23,800x = 34,000 × 34,000
4. Step 4: Simplify right side
   23,800x = 1,156,000,000
5. Step 5: Solve for x
   x = 1,156,000,000/23,800
6. Step 6: Final answer
   x = 48,571.43