Finding the Third Proportional to 11,528 and 16,032

Step by Step Solution

1. Step 1: Write the proportion equation
   11,528 : 16,032 = 16,032 : x
2. Step 2: Convert to fraction form
   11,528/16,032 = 16,032/x
3. Step 3: Cross multiply
   11,528x = 16,032 × 16,032
4. Step 4: Simplify right side
   11,528x = 257,025,024
5. Step 5: Solve for x
   x = 257,025,024/11,528
6. Step 6: Final answer
   x = 22,295.72