Finding the Third Proportional to 11,174 and 15,032

Step by Step Solution

1. Step 1: Write the proportion equation
   11,174 : 15,032 = 15,032 : x
2. Step 2: Convert to fraction form
   11,174/15,032 = 15,032/x
3. Step 3: Cross multiply
   11,174x = 15,032 × 15,032
4. Step 4: Simplify right side
   11,174x = 225,961,024
5. Step 5: Solve for x
   x = 225,961,024/11,174
6. Step 6: Final answer
   x = 20,222.04