Finding the Third Proportional to 11,538 and 17,091

Step by Step Solution

1. Step 1: Write the proportion equation
   11,538 : 17,091 = 17,091 : x
2. Step 2: Convert to fraction form
   11,538/17,091 = 17,091/x
3. Step 3: Cross multiply
   11,538x = 17,091 × 17,091
4. Step 4: Simplify right side
   11,538x = 292,102,281
5. Step 5: Solve for x
   x = 292,102,281/11,538
6. Step 6: Final answer
   x = 25,316.54