Finding the Third Proportional to 23,828 and 52,262

Step by Step Solution

1. Step 1: Write the proportion equation
   23,828 : 52,262 = 52,262 : x
2. Step 2: Convert to fraction form
   23,828/52,262 = 52,262/x
3. Step 3: Cross multiply
   23,828x = 52,262 × 52,262
4. Step 4: Simplify right side
   23,828x = 2,731,316,644
5. Step 5: Solve for x
   x = 2,731,316,644/23,828
6. Step 6: Final answer
   x = 114,626.35