Finding the Third Proportional to 11,583 and 17,739

Step by Step Solution

1. Step 1: Write the proportion equation
   11,583 : 17,739 = 17,739 : x
2. Step 2: Convert to fraction form
   11,583/17,739 = 17,739/x
3. Step 3: Cross multiply
   11,583x = 17,739 × 17,739
4. Step 4: Simplify right side
   11,583x = 314,672,121
5. Step 5: Solve for x
   x = 314,672,121/11,583
6. Step 6: Final answer
   x = 27,166.72