Finding the Third Proportional to 31,828 and 46,564

Step by Step Solution

1. Step 1: Write the proportion equation
   31,828 : 46,564 = 46,564 : x
2. Step 2: Convert to fraction form
   31,828/46,564 = 46,564/x
3. Step 3: Cross multiply
   31,828x = 46,564 × 46,564
4. Step 4: Simplify right side
   31,828x = 2,168,206,096
5. Step 5: Solve for x
   x = 2,168,206,096/31,828
6. Step 6: Final answer
   x = 68,122.60