Finding the Third Proportional to 11,572 and 17,690

Step by Step Solution

1. Step 1: Write the proportion equation
   11,572 : 17,690 = 17,690 : x
2. Step 2: Convert to fraction form
   11,572/17,690 = 17,690/x
3. Step 3: Cross multiply
   11,572x = 17,690 × 17,690
4. Step 4: Simplify right side
   11,572x = 312,936,100
5. Step 5: Solve for x
   x = 312,936,100/11,572
6. Step 6: Final answer
   x = 27,042.53