Finding the Third Proportional to 5,602 and 13,099

Step by Step Solution

1. Step 1: Write the proportion equation
   5,602 : 13,099 = 13,099 : x
2. Step 2: Convert to fraction form
   5,602/13,099 = 13,099/x
3. Step 3: Cross multiply
   5,602x = 13,099 × 13,099
4. Step 4: Simplify right side
   5,602x = 171,583,801
5. Step 5: Solve for x
   x = 171,583,801/5,602
6. Step 6: Final answer
   x = 30,629.03