Finding the Third Proportional to 23,827 and 52,358

Step by Step Solution

1. Step 1: Write the proportion equation
   23,827 : 52,358 = 52,358 : x
2. Step 2: Convert to fraction form
   23,827/52,358 = 52,358/x
3. Step 3: Cross multiply
   23,827x = 52,358 × 52,358
4. Step 4: Simplify right side
   23,827x = 2,741,360,164
5. Step 5: Solve for x
   x = 2,741,360,164/23,827
6. Step 6: Final answer
   x = 115,052.68