Finding the Third Proportional to 23,804 and 34,006

Step by Step Solution

1. Step 1: Write the proportion equation
   23,804 : 34,006 = 34,006 : x
2. Step 2: Convert to fraction form
   23,804/34,006 = 34,006/x
3. Step 3: Cross multiply
   23,804x = 34,006 × 34,006
4. Step 4: Simplify right side
   23,804x = 1,156,408,036
5. Step 5: Solve for x
   x = 1,156,408,036/23,804
6. Step 6: Final answer
   x = 48,580.41