Finding the Third Proportional to 10,592 and 17,406

Step by Step Solution

1. Step 1: Write the proportion equation
   10,592 : 17,406 = 17,406 : x
2. Step 2: Convert to fraction form
   10,592/17,406 = 17,406/x
3. Step 3: Cross multiply
   10,592x = 17,406 × 17,406
4. Step 4: Simplify right side
   10,592x = 302,968,836
5. Step 5: Solve for x
   x = 302,968,836/10,592
6. Step 6: Final answer
   x = 28,603.55