Finding the Third Proportional to 11,426 and 23,170

Step by Step Solution

1. Step 1: Write the proportion equation
   11,426 : 23,170 = 23,170 : x
2. Step 2: Convert to fraction form
   11,426/23,170 = 23,170/x
3. Step 3: Cross multiply
   11,426x = 23,170 × 23,170
4. Step 4: Simplify right side
   11,426x = 536,848,900
5. Step 5: Solve for x
   x = 536,848,900/11,426
6. Step 6: Final answer
   x = 46,984.85