Finding the Third Proportional to 5,588 and 13,082

Step by Step Solution

1. Step 1: Write the proportion equation
   5,588 : 13,082 = 13,082 : x
2. Step 2: Convert to fraction form
   5,588/13,082 = 13,082/x
3. Step 3: Cross multiply
   5,588x = 13,082 × 13,082
4. Step 4: Simplify right side
   5,588x = 171,138,724
5. Step 5: Solve for x
   x = 171,138,724/5,588
6. Step 6: Final answer
   x = 30,626.11