Finding the Third Proportional to 6,583.78 and 13,401.07

Step by Step Solution

1. Step 1: Write the proportion equation
   6,583.78 : 13,401.07 = 13,401.07 : x
2. Step 2: Convert to fraction form
   6,583.78/13,401.07 = 13,401.07/x
3. Step 3: Cross multiply
   6,583.78x = 13,401.07 × 13,401.07
4. Step 4: Simplify right side
   6,583.78x = 179,588,685.52
5. Step 5: Solve for x
   x = 179,588,685.52/6,583.78
6. Step 6: Final answer
   x = 27,277.44