Finding the Third Proportional to 31,783 and 68,564

Step by Step Solution

1. Step 1: Write the proportion equation
   31,783 : 68,564 = 68,564 : x
2. Step 2: Convert to fraction form
   31,783/68,564 = 68,564/x
3. Step 3: Cross multiply
   31,783x = 68,564 × 68,564
4. Step 4: Simplify right side
   31,783x = 4,701,022,096
5. Step 5: Solve for x
   x = 4,701,022,096/31,783
6. Step 6: Final answer
   x = 147,909.95