Finding the Third Proportional to 32,783 and 70,345

Step by Step Solution

1. Step 1: Write the proportion equation
   32,783 : 70,345 = 70,345 : x
2. Step 2: Convert to fraction form
   32,783/70,345 = 70,345/x
3. Step 3: Cross multiply
   32,783x = 70,345 × 70,345
4. Step 4: Simplify right side
   32,783x = 4,948,419,025
5. Step 5: Solve for x
   x = 4,948,419,025/32,783
6. Step 6: Final answer
   x = 150,944.67