Finding the Third Proportional to 10,266.75 and 16,498.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,266.75 : 16,498.69 = 16,498.69 : x
2. Step 2: Convert to fraction form
   10,266.75/16,498.69 = 16,498.69/x
3. Step 3: Cross multiply
   10,266.75x = 16,498.69 × 16,498.69
4. Step 4: Simplify right side
   10,266.75x = 272,206,689.22
5. Step 5: Solve for x
   x = 272,206,689.22/10,266.75
6. Step 6: Final answer
   x = 26,513.42