Finding the Third Proportional to 23,458 and 35,070

Step by Step Solution

1. Step 1: Write the proportion equation
   23,458 : 35,070 = 35,070 : x
2. Step 2: Convert to fraction form
   23,458/35,070 = 35,070/x
3. Step 3: Cross multiply
   23,458x = 35,070 × 35,070
4. Step 4: Simplify right side
   23,458x = 1,229,904,900
5. Step 5: Solve for x
   x = 1,229,904,900/23,458
6. Step 6: Final answer
   x = 52,430.08