Finding the Third Proportional to 11,188 and 17,106

Step by Step Solution

1. Step 1: Write the proportion equation
   11,188 : 17,106 = 17,106 : x
2. Step 2: Convert to fraction form
   11,188/17,106 = 17,106/x
3. Step 3: Cross multiply
   11,188x = 17,106 × 17,106
4. Step 4: Simplify right side
   11,188x = 292,615,236
5. Step 5: Solve for x
   x = 292,615,236/11,188
6. Step 6: Final answer
   x = 26,154.38