Finding the Third Proportional to 23,646 and 35,960

Step by Step Solution

1. Step 1: Write the proportion equation
   23,646 : 35,960 = 35,960 : x
2. Step 2: Convert to fraction form
   23,646/35,960 = 35,960/x
3. Step 3: Cross multiply
   23,646x = 35,960 × 35,960
4. Step 4: Simplify right side
   23,646x = 1,293,121,600
5. Step 5: Solve for x
   x = 1,293,121,600/23,646
6. Step 6: Final answer
   x = 54,686.70