Finding the Third Proportional to 23,078 and 35,841

Step by Step Solution

1. Step 1: Write the proportion equation
   23,078 : 35,841 = 35,841 : x
2. Step 2: Convert to fraction form
   23,078/35,841 = 35,841/x
3. Step 3: Cross multiply
   23,078x = 35,841 × 35,841
4. Step 4: Simplify right side
   23,078x = 1,284,577,281
5. Step 5: Solve for x
   x = 1,284,577,281/23,078
6. Step 6: Final answer
   x = 55,662.42