Finding the Third Proportional to 5,780 and 13,640

Step by Step Solution

1. Step 1: Write the proportion equation
   5,780 : 13,640 = 13,640 : x
2. Step 2: Convert to fraction form
   5,780/13,640 = 13,640/x
3. Step 3: Cross multiply
   5,780x = 13,640 × 13,640
4. Step 4: Simplify right side
   5,780x = 186,049,600
5. Step 5: Solve for x
   x = 186,049,600/5,780
6. Step 6: Final answer
   x = 32,188.51