Finding the Third Proportional to 23,404 and 35,358

Step by Step Solution

1. Step 1: Write the proportion equation
   23,404 : 35,358 = 35,358 : x
2. Step 2: Convert to fraction form
   23,404/35,358 = 35,358/x
3. Step 3: Cross multiply
   23,404x = 35,358 × 35,358
4. Step 4: Simplify right side
   23,404x = 1,250,188,164
5. Step 5: Solve for x
   x = 1,250,188,164/23,404
6. Step 6: Final answer
   x = 53,417.71