Finding the Third Proportional to 30,852 and 41,806.13

Step by Step Solution

1. Step 1: Write the proportion equation
   30,852 : 41,806.13 = 41,806.13 : x
2. Step 2: Convert to fraction form
   30,852/41,806.13 = 41,806.13/x
3. Step 3: Cross multiply
   30,852x = 41,806.13 × 41,806.13
4. Step 4: Simplify right side
   30,852x = 1,747,752,087.52
5. Step 5: Solve for x
   x = 1,747,752,087.52/30,852
6. Step 6: Final answer
   x = 56,649.56