Finding the Third Proportional to 23,414 and 35,085

Step by Step Solution

1. Step 1: Write the proportion equation
   23,414 : 35,085 = 35,085 : x
2. Step 2: Convert to fraction form
   23,414/35,085 = 35,085/x
3. Step 3: Cross multiply
   23,414x = 35,085 × 35,085
4. Step 4: Simplify right side
   23,414x = 1,230,957,225
5. Step 5: Solve for x
   x = 1,230,957,225/23,414
6. Step 6: Final answer
   x = 52,573.56