Finding the Third Proportional to 31,128 and 46,582

Step by Step Solution

1. Step 1: Write the proportion equation
   31,128 : 46,582 = 46,582 : x
2. Step 2: Convert to fraction form
   31,128/46,582 = 46,582/x
3. Step 3: Cross multiply
   31,128x = 46,582 × 46,582
4. Step 4: Simplify right side
   31,128x = 2,169,882,724
5. Step 5: Solve for x
   x = 2,169,882,724/31,128
6. Step 6: Final answer
   x = 69,708.39