Finding the Third Proportional to 10,401.75 and 16,466.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401.75 : 16,466.63 = 16,466.63 : x
2. Step 2: Convert to fraction form
   10,401.75/16,466.63 = 16,466.63/x
3. Step 3: Cross multiply
   10,401.75x = 16,466.63 × 16,466.63
4. Step 4: Simplify right side
   10,401.75x = 271,149,738.89
5. Step 5: Solve for x
   x = 271,149,738.89/10,401.75
6. Step 6: Final answer
   x = 26,067.70