Finding the Third Proportional to 35,874 and 83,778.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,874 : 83,778.75 = 83,778.75 : x
2. Step 2: Convert to fraction form
   35,874/83,778.75 = 83,778.75/x
3. Step 3: Cross multiply
   35,874x = 83,778.75 × 83,778.75
4. Step 4: Simplify right side
   35,874x = 7,018,878,951.56
5. Step 5: Solve for x
   x = 7,018,878,951.56/35,874
6. Step 6: Final answer
   x = 195,653.65