Finding the Third Proportional to 10,644 and 17,102

Step by Step Solution

1. Step 1: Write the proportion equation
   10,644 : 17,102 = 17,102 : x
2. Step 2: Convert to fraction form
   10,644/17,102 = 17,102/x
3. Step 3: Cross multiply
   10,644x = 17,102 × 17,102
4. Step 4: Simplify right side
   10,644x = 292,478,404
5. Step 5: Solve for x
   x = 292,478,404/10,644
6. Step 6: Final answer
   x = 27,478.24