Finding the Third Proportional to 10,032 and 21,672

Step by Step Solution

1. Step 1: Write the proportion equation
   10,032 : 21,672 = 21,672 : x
2. Step 2: Convert to fraction form
   10,032/21,672 = 21,672/x
3. Step 3: Cross multiply
   10,032x = 21,672 × 21,672
4. Step 4: Simplify right side
   10,032x = 469,675,584
5. Step 5: Solve for x
   x = 469,675,584/10,032
6. Step 6: Final answer
   x = 46,817.74