Finding the Third Proportional to 10,827 and 16,556.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,827 : 16,556.06 = 16,556.06 : x
2. Step 2: Convert to fraction form
   10,827/16,556.06 = 16,556.06/x
3. Step 3: Cross multiply
   10,827x = 16,556.06 × 16,556.06
4. Step 4: Simplify right side
   10,827x = 274,103,205.50
5. Step 5: Solve for x
   x = 274,103,205.50/10,827
6. Step 6: Final answer
   x = 25,316.63