Finding the Third Proportional to 20,582 and 30,785

Step by Step Solution

1. Step 1: Write the proportion equation
   20,582 : 30,785 = 30,785 : x
2. Step 2: Convert to fraction form
   20,582/30,785 = 30,785/x
3. Step 3: Cross multiply
   20,582x = 30,785 × 30,785
4. Step 4: Simplify right side
   20,582x = 947,716,225
5. Step 5: Solve for x
   x = 947,716,225/20,582
6. Step 6: Final answer
   x = 46,045.88