Finding the Third Proportional to 5,653.50 and 10,681.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,653.50 : 10,681.50 = 10,681.50 : x
2. Step 2: Convert to fraction form
   5,653.50/10,681.50 = 10,681.50/x
3. Step 3: Cross multiply
   5,653.50x = 10,681.50 × 10,681.50
4. Step 4: Simplify right side
   5,653.50x = 114,094,442.25
5. Step 5: Solve for x
   x = 114,094,442.25/5,653.50
6. Step 6: Final answer
   x = 20,181.20