Finding the Third Proportional to 23,826 and 52,260

Step by Step Solution

1. Step 1: Write the proportion equation
   23,826 : 52,260 = 52,260 : x
2. Step 2: Convert to fraction form
   23,826/52,260 = 52,260/x
3. Step 3: Cross multiply
   23,826x = 52,260 × 52,260
4. Step 4: Simplify right side
   23,826x = 2,731,107,600
5. Step 5: Solve for x
   x = 2,731,107,600/23,826
6. Step 6: Final answer
   x = 114,627.20