Finding the Third Proportional to 23,795 and 35,415

Step by Step Solution

1. Step 1: Write the proportion equation
   23,795 : 35,415 = 35,415 : x
2. Step 2: Convert to fraction form
   23,795/35,415 = 35,415/x
3. Step 3: Cross multiply
   23,795x = 35,415 × 35,415
4. Step 4: Simplify right side
   23,795x = 1,254,222,225
5. Step 5: Solve for x
   x = 1,254,222,225/23,795
6. Step 6: Final answer
   x = 52,709.49