Finding the Third Proportional to 11,140 and 17,627

Step by Step Solution

1. Step 1: Write the proportion equation
   11,140 : 17,627 = 17,627 : x
2. Step 2: Convert to fraction form
   11,140/17,627 = 17,627/x
3. Step 3: Cross multiply
   11,140x = 17,627 × 17,627
4. Step 4: Simplify right side
   11,140x = 310,711,129
5. Step 5: Solve for x
   x = 310,711,129/11,140
6. Step 6: Final answer
   x = 27,891.48