Finding the Third Proportional to 10,013.63 and 16,606.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,013.63 : 16,606.69 = 16,606.69 : x
2. Step 2: Convert to fraction form
   10,013.63/16,606.69 = 16,606.69/x
3. Step 3: Cross multiply
   10,013.63x = 16,606.69 × 16,606.69
4. Step 4: Simplify right side
   10,013.63x = 275,782,069.72
5. Step 5: Solve for x
   x = 275,782,069.72/10,013.63
6. Step 6: Final answer
   x = 27,540.68