Finding the Third Proportional to 5,692 and 10,454

Step by Step Solution

1. Step 1: Write the proportion equation
   5,692 : 10,454 = 10,454 : x
2. Step 2: Convert to fraction form
   5,692/10,454 = 10,454/x
3. Step 3: Cross multiply
   5,692x = 10,454 × 10,454
4. Step 4: Simplify right side
   5,692x = 109,286,116
5. Step 5: Solve for x
   x = 109,286,116/5,692
6. Step 6: Final answer
   x = 19,199.95