Finding the Third Proportional to 16,305 and 35,778

Step by Step Solution

1. Step 1: Write the proportion equation
   16,305 : 35,778 = 35,778 : x
2. Step 2: Convert to fraction form
   16,305/35,778 = 35,778/x
3. Step 3: Cross multiply
   16,305x = 35,778 × 35,778
4. Step 4: Simplify right side
   16,305x = 1,280,065,284
5. Step 5: Solve for x
   x = 1,280,065,284/16,305
6. Step 6: Final answer
   x = 78,507.53