Finding the Third Proportional to 7,823.25 and 17,097.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,823.25 : 17,097.75 = 17,097.75 : x
2. Step 2: Convert to fraction form
   7,823.25/17,097.75 = 17,097.75/x
3. Step 3: Cross multiply
   7,823.25x = 17,097.75 × 17,097.75
4. Step 4: Simplify right side
   7,823.25x = 292,333,055.06
5. Step 5: Solve for x
   x = 292,333,055.06/7,823.25
6. Step 6: Final answer
   x = 37,367.21