Finding the Third Proportional to 14,188 and 21,356

Step by Step Solution

1. Step 1: Write the proportion equation
   14,188 : 21,356 = 21,356 : x
2. Step 2: Convert to fraction form
   14,188/21,356 = 21,356/x
3. Step 3: Cross multiply
   14,188x = 21,356 × 21,356
4. Step 4: Simplify right side
   14,188x = 456,078,736
5. Step 5: Solve for x
   x = 456,078,736/14,188
6. Step 6: Final answer
   x = 32,145.39