Finding the Third Proportional to 16,430 and 35,863

Step by Step Solution

1. Step 1: Write the proportion equation
   16,430 : 35,863 = 35,863 : x
2. Step 2: Convert to fraction form
   16,430/35,863 = 35,863/x
3. Step 3: Cross multiply
   16,430x = 35,863 × 35,863
4. Step 4: Simplify right side
   16,430x = 1,286,154,769
5. Step 5: Solve for x
   x = 1,286,154,769/16,430
6. Step 6: Final answer
   x = 78,280.87