Finding the Third Proportional to 23,564 and 34,077

Step by Step Solution

1. Step 1: Write the proportion equation
   23,564 : 34,077 = 34,077 : x
2. Step 2: Convert to fraction form
   23,564/34,077 = 34,077/x
3. Step 3: Cross multiply
   23,564x = 34,077 × 34,077
4. Step 4: Simplify right side
   23,564x = 1,161,241,929
5. Step 5: Solve for x
   x = 1,161,241,929/23,564
6. Step 6: Final answer
   x = 49,280.34