Finding the Third Proportional to 16,194 and 21,524

Step by Step Solution

1. Step 1: Write the proportion equation
   16,194 : 21,524 = 21,524 : x
2. Step 2: Convert to fraction form
   16,194/21,524 = 21,524/x
3. Step 3: Cross multiply
   16,194x = 21,524 × 21,524
4. Step 4: Simplify right side
   16,194x = 463,282,576
5. Step 5: Solve for x
   x = 463,282,576/16,194
6. Step 6: Final answer
   x = 28,608.29