Finding the Third Proportional to 20,768 and 31,798

Step by Step Solution

1. Step 1: Write the proportion equation
   20,768 : 31,798 = 31,798 : x
2. Step 2: Convert to fraction form
   20,768/31,798 = 31,798/x
3. Step 3: Cross multiply
   20,768x = 31,798 × 31,798
4. Step 4: Simplify right side
   20,768x = 1,011,112,804
5. Step 5: Solve for x
   x = 1,011,112,804/20,768
6. Step 6: Final answer
   x = 48,686.09