Finding the Third Proportional to 10,172 and 13,576

Step by Step Solution

1. Step 1: Write the proportion equation
   10,172 : 13,576 = 13,576 : x
2. Step 2: Convert to fraction form
   10,172/13,576 = 13,576/x
3. Step 3: Cross multiply
   10,172x = 13,576 × 13,576
4. Step 4: Simplify right side
   10,172x = 184,307,776
5. Step 5: Solve for x
   x = 184,307,776/10,172
6. Step 6: Final answer
   x = 18,119.13