Finding the Third Proportional to 11,700 and 21,672

Step by Step Solution

1. Step 1: Write the proportion equation
   11,700 : 21,672 = 21,672 : x
2. Step 2: Convert to fraction form
   11,700/21,672 = 21,672/x
3. Step 3: Cross multiply
   11,700x = 21,672 × 21,672
4. Step 4: Simplify right side
   11,700x = 469,675,584
5. Step 5: Solve for x
   x = 469,675,584/11,700
6. Step 6: Final answer
   x = 40,143.21