Finding the Third Proportional to 11,552 and 17,838

Step by Step Solution

1. Step 1: Write the proportion equation
   11,552 : 17,838 = 17,838 : x
2. Step 2: Convert to fraction form
   11,552/17,838 = 17,838/x
3. Step 3: Cross multiply
   11,552x = 17,838 × 17,838
4. Step 4: Simplify right side
   11,552x = 318,194,244
5. Step 5: Solve for x
   x = 318,194,244/11,552
6. Step 6: Final answer
   x = 27,544.52