Finding the Third Proportional to 35,831.25 and 76,945.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,831.25 : 76,945.50 = 76,945.50 : x
2. Step 2: Convert to fraction form
   35,831.25/76,945.50 = 76,945.50/x
3. Step 3: Cross multiply
   35,831.25x = 76,945.50 × 76,945.50
4. Step 4: Simplify right side
   35,831.25x = 5,920,609,970.25
5. Step 5: Solve for x
   x = 5,920,609,970.25/35,831.25
6. Step 6: Final answer
   x = 165,235.93