Finding the Third Proportional to 31,923 and 64,758

Step by Step Solution

1. Step 1: Write the proportion equation
   31,923 : 64,758 = 64,758 : x
2. Step 2: Convert to fraction form
   31,923/64,758 = 64,758/x
3. Step 3: Cross multiply
   31,923x = 64,758 × 64,758
4. Step 4: Simplify right side
   31,923x = 4,193,598,564
5. Step 5: Solve for x
   x = 4,193,598,564/31,923
6. Step 6: Final answer
   x = 131,366.05