Finding the Third Proportional to 11,003 and 14,591

Step by Step Solution

1. Step 1: Write the proportion equation
   11,003 : 14,591 = 14,591 : x
2. Step 2: Convert to fraction form
   11,003/14,591 = 14,591/x
3. Step 3: Cross multiply
   11,003x = 14,591 × 14,591
4. Step 4: Simplify right side
   11,003x = 212,897,281
5. Step 5: Solve for x
   x = 212,897,281/11,003
6. Step 6: Final answer
   x = 19,349.02