Finding the Third Proportional to 6,940.41 and 10,583.16

Step by Step Solution

1. Step 1: Write the proportion equation
   6,940.41 : 10,583.16 = 10,583.16 : x
2. Step 2: Convert to fraction form
   6,940.41/10,583.16 = 10,583.16/x
3. Step 3: Cross multiply
   6,940.41x = 10,583.16 × 10,583.16
4. Step 4: Simplify right side
   6,940.41x = 112,003,196.21
5. Step 5: Solve for x
   x = 112,003,196.21/6,940.41
6. Step 6: Final answer
   x = 16,137.84