Finding the Third Proportional to 16,365 and 35,916

Step by Step Solution

1. Step 1: Write the proportion equation
   16,365 : 35,916 = 35,916 : x
2. Step 2: Convert to fraction form
   16,365/35,916 = 35,916/x
3. Step 3: Cross multiply
   16,365x = 35,916 × 35,916
4. Step 4: Simplify right side
   16,365x = 1,289,959,056
5. Step 5: Solve for x
   x = 1,289,959,056/16,365
6. Step 6: Final answer
   x = 78,824.26