Finding the Third Proportional to 23,680 and 35,357

Step by Step Solution

1. Step 1: Write the proportion equation
   23,680 : 35,357 = 35,357 : x
2. Step 2: Convert to fraction form
   23,680/35,357 = 35,357/x
3. Step 3: Cross multiply
   23,680x = 35,357 × 35,357
4. Step 4: Simplify right side
   23,680x = 1,250,117,449
5. Step 5: Solve for x
   x = 1,250,117,449/23,680
6. Step 6: Final answer
   x = 52,792.12