Finding the Third Proportional to 5,692 and 13,406

Step by Step Solution

1. Step 1: Write the proportion equation
   5,692 : 13,406 = 13,406 : x
2. Step 2: Convert to fraction form
   5,692/13,406 = 13,406/x
3. Step 3: Cross multiply
   5,692x = 13,406 × 13,406
4. Step 4: Simplify right side
   5,692x = 179,720,836
5. Step 5: Solve for x
   x = 179,720,836/5,692
6. Step 6: Final answer
   x = 31,574.29