Finding the Third Proportional to 23,380 and 35,320

Step by Step Solution

1. Step 1: Write the proportion equation
   23,380 : 35,320 = 35,320 : x
2. Step 2: Convert to fraction form
   23,380/35,320 = 35,320/x
3. Step 3: Cross multiply
   23,380x = 35,320 × 35,320
4. Step 4: Simplify right side
   23,380x = 1,247,502,400
5. Step 5: Solve for x
   x = 1,247,502,400/23,380
6. Step 6: Final answer
   x = 53,357.67