Finding the Third Proportional to 35,889.75 and 83,831.63

Step by Step Solution

1. Step 1: Write the proportion equation
   35,889.75 : 83,831.63 = 83,831.63 : x
2. Step 2: Convert to fraction form
   35,889.75/83,831.63 = 83,831.63/x
3. Step 3: Cross multiply
   35,889.75x = 83,831.63 × 83,831.63
4. Step 4: Simplify right side
   35,889.75x = 7,027,741,350.14
5. Step 5: Solve for x
   x = 7,027,741,350.14/35,889.75
6. Step 6: Final answer
   x = 195,814.72