Finding the Third Proportional to 5,200 and 13,576

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200 : 13,576 = 13,576 : x
2. Step 2: Convert to fraction form
   5,200/13,576 = 13,576/x
3. Step 3: Cross multiply
   5,200x = 13,576 × 13,576
4. Step 4: Simplify right side
   5,200x = 184,307,776
5. Step 5: Solve for x
   x = 184,307,776/5,200
6. Step 6: Final answer
   x = 35,443.80