Finding the Third Proportional to 16,649 and 35,769

Step by Step Solution

1. Step 1: Write the proportion equation
   16,649 : 35,769 = 35,769 : x
2. Step 2: Convert to fraction form
   16,649/35,769 = 35,769/x
3. Step 3: Cross multiply
   16,649x = 35,769 × 35,769
4. Step 4: Simplify right side
   16,649x = 1,279,421,361
5. Step 5: Solve for x
   x = 1,279,421,361/16,649
6. Step 6: Final answer
   x = 76,846.74