Finding the Third Proportional to 11,558 and 17,769

Step by Step Solution

1. Step 1: Write the proportion equation
   11,558 : 17,769 = 17,769 : x
2. Step 2: Convert to fraction form
   11,558/17,769 = 17,769/x
3. Step 3: Cross multiply
   11,558x = 17,769 × 17,769
4. Step 4: Simplify right side
   11,558x = 315,737,361
5. Step 5: Solve for x
   x = 315,737,361/11,558
6. Step 6: Final answer
   x = 27,317.65