Finding the Third Proportional to 14,140 and 21,242

Step by Step Solution

1. Step 1: Write the proportion equation
   14,140 : 21,242 = 21,242 : x
2. Step 2: Convert to fraction form
   14,140/21,242 = 21,242/x
3. Step 3: Cross multiply
   14,140x = 21,242 × 21,242
4. Step 4: Simplify right side
   14,140x = 451,222,564
5. Step 5: Solve for x
   x = 451,222,564/14,140
6. Step 6: Final answer
   x = 31,911.07