Finding the Third Proportional to 11,466 and 15,002

Step by Step Solution

1. Step 1: Write the proportion equation
   11,466 : 15,002 = 15,002 : x
2. Step 2: Convert to fraction form
   11,466/15,002 = 15,002/x
3. Step 3: Cross multiply
   11,466x = 15,002 × 15,002
4. Step 4: Simplify right side
   11,466x = 225,060,004
5. Step 5: Solve for x
   x = 225,060,004/11,466
6. Step 6: Final answer
   x = 19,628.47