Finding the Third Proportional to 20,164 and 30,797

Step by Step Solution

1. Step 1: Write the proportion equation
   20,164 : 30,797 = 30,797 : x
2. Step 2: Convert to fraction form
   20,164/30,797 = 30,797/x
3. Step 3: Cross multiply
   20,164x = 30,797 × 30,797
4. Step 4: Simplify right side
   20,164x = 948,455,209
5. Step 5: Solve for x
   x = 948,455,209/20,164
6. Step 6: Final answer
   x = 47,037.06