Finding the Third Proportional to 16,406 and 35,819

Step by Step Solution

1. Step 1: Write the proportion equation
   16,406 : 35,819 = 35,819 : x
2. Step 2: Convert to fraction form
   16,406/35,819 = 35,819/x
3. Step 3: Cross multiply
   16,406x = 35,819 × 35,819
4. Step 4: Simplify right side
   16,406x = 1,283,000,761
5. Step 5: Solve for x
   x = 1,283,000,761/16,406
6. Step 6: Final answer
   x = 78,203.14