Finding the Third Proportional to 16,819 and 35,797

Step by Step Solution

1. Step 1: Write the proportion equation
   16,819 : 35,797 = 35,797 : x
2. Step 2: Convert to fraction form
   16,819/35,797 = 35,797/x
3. Step 3: Cross multiply
   16,819x = 35,797 × 35,797
4. Step 4: Simplify right side
   16,819x = 1,281,425,209
5. Step 5: Solve for x
   x = 1,281,425,209/16,819
6. Step 6: Final answer
   x = 76,189.14