Finding the Third Proportional to 6,939.75 and 10,583.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,939.75 : 10,583.25 = 10,583.25 : x
2. Step 2: Convert to fraction form
   6,939.75/10,583.25 = 10,583.25/x
3. Step 3: Cross multiply
   6,939.75x = 10,583.25 × 10,583.25
4. Step 4: Simplify right side
   6,939.75x = 112,005,180.56
5. Step 5: Solve for x
   x = 112,005,180.56/6,939.75
6. Step 6: Final answer
   x = 16,139.66