Finding the Third Proportional to 11,402 and 17,591

Step by Step Solution

1. Step 1: Write the proportion equation
   11,402 : 17,591 = 17,591 : x
2. Step 2: Convert to fraction form
   11,402/17,591 = 17,591/x
3. Step 3: Cross multiply
   11,402x = 17,591 × 17,591
4. Step 4: Simplify right side
   11,402x = 309,443,281
5. Step 5: Solve for x
   x = 309,443,281/11,402
6. Step 6: Final answer
   x = 27,139.39