Finding the Third Proportional to 7,952.16 and 17,287.59

Step by Step Solution

1. Step 1: Write the proportion equation
   7,952.16 : 17,287.59 = 17,287.59 : x
2. Step 2: Convert to fraction form
   7,952.16/17,287.59 = 17,287.59/x
3. Step 3: Cross multiply
   7,952.16x = 17,287.59 × 17,287.59
4. Step 4: Simplify right side
   7,952.16x = 298,860,897.67
5. Step 5: Solve for x
   x = 298,860,897.67/7,952.16
6. Step 6: Final answer
   x = 37,582.37