Finding the Third Proportional to 23,380 and 35,314

Step by Step Solution

1. Step 1: Write the proportion equation
   23,380 : 35,314 = 35,314 : x
2. Step 2: Convert to fraction form
   23,380/35,314 = 35,314/x
3. Step 3: Cross multiply
   23,380x = 35,314 × 35,314
4. Step 4: Simplify right side
   23,380x = 1,247,078,596
5. Step 5: Solve for x
   x = 1,247,078,596/23,380
6. Step 6: Final answer
   x = 53,339.55