Finding the Third Proportional to 10,281.94 and 13,782.66

Step by Step Solution

1. Step 1: Write the proportion equation
   10,281.94 : 13,782.66 = 13,782.66 : x
2. Step 2: Convert to fraction form
   10,281.94/13,782.66 = 13,782.66/x
3. Step 3: Cross multiply
   10,281.94x = 13,782.66 × 13,782.66
4. Step 4: Simplify right side
   10,281.94x = 189,961,613.31
5. Step 5: Solve for x
   x = 189,961,613.31/10,281.94
6. Step 6: Final answer
   x = 18,475.27