Finding the Third Proportional to 9,828.25 and 13,094.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,828.25 : 13,094.25 = 13,094.25 : x
2. Step 2: Convert to fraction form
   9,828.25/13,094.25 = 13,094.25/x
3. Step 3: Cross multiply
   9,828.25x = 13,094.25 × 13,094.25
4. Step 4: Simplify right side
   9,828.25x = 171,459,383.06
5. Step 5: Solve for x
   x = 171,459,383.06/9,828.25
6. Step 6: Final answer
   x = 17,445.57