Finding the Third Proportional to 23,405 and 35,007

Step by Step Solution

1. Step 1: Write the proportion equation
   23,405 : 35,007 = 35,007 : x
2. Step 2: Convert to fraction form
   23,405/35,007 = 35,007/x
3. Step 3: Cross multiply
   23,405x = 35,007 × 35,007
4. Step 4: Simplify right side
   23,405x = 1,225,490,049
5. Step 5: Solve for x
   x = 1,225,490,049/23,405
6. Step 6: Final answer
   x = 52,360.18