Finding the Third Proportional to 14,656 and 23,644

Step by Step Solution

1. Step 1: Write the proportion equation
   14,656 : 23,644 = 23,644 : x
2. Step 2: Convert to fraction form
   14,656/23,644 = 23,644/x
3. Step 3: Cross multiply
   14,656x = 23,644 × 23,644
4. Step 4: Simplify right side
   14,656x = 559,038,736
5. Step 5: Solve for x
   x = 559,038,736/14,656
6. Step 6: Final answer
   x = 38,144.02