Finding the Third Proportional to 23,825 and 52,258

Step by Step Solution

1. Step 1: Write the proportion equation
   23,825 : 52,258 = 52,258 : x
2. Step 2: Convert to fraction form
   23,825/52,258 = 52,258/x
3. Step 3: Cross multiply
   23,825x = 52,258 × 52,258
4. Step 4: Simplify right side
   23,825x = 2,730,898,564
5. Step 5: Solve for x
   x = 2,730,898,564/23,825
6. Step 6: Final answer
   x = 114,623.23