Finding the Third Proportional to 31,585 and 45,631

Step by Step Solution

1. Step 1: Write the proportion equation
   31,585 : 45,631 = 45,631 : x
2. Step 2: Convert to fraction form
   31,585/45,631 = 45,631/x
3. Step 3: Cross multiply
   31,585x = 45,631 × 45,631
4. Step 4: Simplify right side
   31,585x = 2,082,188,161
5. Step 5: Solve for x
   x = 2,082,188,161/31,585
6. Step 6: Final answer
   x = 65,923.32