Finding the Third Proportional to 11,300 and 17,586

Step by Step Solution

1. Step 1: Write the proportion equation
   11,300 : 17,586 = 17,586 : x
2. Step 2: Convert to fraction form
   11,300/17,586 = 17,586/x
3. Step 3: Cross multiply
   11,300x = 17,586 × 17,586
4. Step 4: Simplify right side
   11,300x = 309,267,396
5. Step 5: Solve for x
   x = 309,267,396/11,300
6. Step 6: Final answer
   x = 27,368.80