Finding the Third Proportional to 9,795 and 13,852.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,795 : 13,852.50 = 13,852.50 : x
2. Step 2: Convert to fraction form
   9,795/13,852.50 = 13,852.50/x
3. Step 3: Cross multiply
   9,795x = 13,852.50 × 13,852.50
4. Step 4: Simplify right side
   9,795x = 191,891,756.25
5. Step 5: Solve for x
   x = 191,891,756.25/9,795
6. Step 6: Final answer
   x = 19,590.79