Finding the Third Proportional to 23,676 and 52,293

Step by Step Solution

1. Step 1: Write the proportion equation
   23,676 : 52,293 = 52,293 : x
2. Step 2: Convert to fraction form
   23,676/52,293 = 52,293/x
3. Step 3: Cross multiply
   23,676x = 52,293 × 52,293
4. Step 4: Simplify right side
   23,676x = 2,734,557,849
5. Step 5: Solve for x
   x = 2,734,557,849/23,676
6. Step 6: Final answer
   x = 115,499.15