Finding the Third Proportional to 11,775 and 13,476

Step by Step Solution

1. Step 1: Write the proportion equation
   11,775 : 13,476 = 13,476 : x
2. Step 2: Convert to fraction form
   11,775/13,476 = 13,476/x
3. Step 3: Cross multiply
   11,775x = 13,476 × 13,476
4. Step 4: Simplify right side
   11,775x = 181,602,576
5. Step 5: Solve for x
   x = 181,602,576/11,775
6. Step 6: Final answer
   x = 15,422.72