Finding the Third Proportional to 5,780 and 13,398

Step by Step Solution

1. Step 1: Write the proportion equation
   5,780 : 13,398 = 13,398 : x
2. Step 2: Convert to fraction form
   5,780/13,398 = 13,398/x
3. Step 3: Cross multiply
   5,780x = 13,398 × 13,398
4. Step 4: Simplify right side
   5,780x = 179,506,404
5. Step 5: Solve for x
   x = 179,506,404/5,780
6. Step 6: Final answer
   x = 31,056.47