Finding the Third Proportional to 16,411 and 35,830

Step by Step Solution

1. Step 1: Write the proportion equation
   16,411 : 35,830 = 35,830 : x
2. Step 2: Convert to fraction form
   16,411/35,830 = 35,830/x
3. Step 3: Cross multiply
   16,411x = 35,830 × 35,830
4. Step 4: Simplify right side
   16,411x = 1,283,788,900
5. Step 5: Solve for x
   x = 1,283,788,900/16,411
6. Step 6: Final answer
   x = 78,227.34