Finding the Third Proportional to 5,694 and 10,776

Step by Step Solution

1. Step 1: Write the proportion equation
   5,694 : 10,776 = 10,776 : x
2. Step 2: Convert to fraction form
   5,694/10,776 = 10,776/x
3. Step 3: Cross multiply
   5,694x = 10,776 × 10,776
4. Step 4: Simplify right side
   5,694x = 116,122,176
5. Step 5: Solve for x
   x = 116,122,176/5,694
6. Step 6: Final answer
   x = 20,393.78