Finding the Third Proportional to 7,897.50 and 16,831.55

Step by Step Solution

1. Step 1: Write the proportion equation
   7,897.50 : 16,831.55 = 16,831.55 : x
2. Step 2: Convert to fraction form
   7,897.50/16,831.55 = 16,831.55/x
3. Step 3: Cross multiply
   7,897.50x = 16,831.55 × 16,831.55
4. Step 4: Simplify right side
   7,897.50x = 283,300,970.21
5. Step 5: Solve for x
   x = 283,300,970.21/7,897.50
6. Step 6: Final answer
   x = 35,872.23