Finding the Third Proportional to 11,814 and 17,076

Step by Step Solution

1. Step 1: Write the proportion equation
   11,814 : 17,076 = 17,076 : x
2. Step 2: Convert to fraction form
   11,814/17,076 = 17,076/x
3. Step 3: Cross multiply
   11,814x = 17,076 × 17,076
4. Step 4: Simplify right side
   11,814x = 291,589,776
5. Step 5: Solve for x
   x = 291,589,776/11,814
6. Step 6: Final answer
   x = 24,681.71