Finding the Third Proportional to 35,831 and 83,671.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,831 : 83,671.25 = 83,671.25 : x
2. Step 2: Convert to fraction form
   35,831/83,671.25 = 83,671.25/x
3. Step 3: Cross multiply
   35,831x = 83,671.25 × 83,671.25
4. Step 4: Simplify right side
   35,831x = 7,000,878,076.56
5. Step 5: Solve for x
   x = 7,000,878,076.56/35,831
6. Step 6: Final answer
   x = 195,386.06