Finding the Third Proportional to 10,698.75 and 16,805.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,698.75 : 16,805.25 = 16,805.25 : x
2. Step 2: Convert to fraction form
   10,698.75/16,805.25 = 16,805.25/x
3. Step 3: Cross multiply
   10,698.75x = 16,805.25 × 16,805.25
4. Step 4: Simplify right side
   10,698.75x = 282,416,427.56
5. Step 5: Solve for x
   x = 282,416,427.56/10,698.75
6. Step 6: Final answer
   x = 26,397.14