Finding the Third Proportional to 23,602 and 35,458

Step by Step Solution

1. Step 1: Write the proportion equation
   23,602 : 35,458 = 35,458 : x
2. Step 2: Convert to fraction form
   23,602/35,458 = 35,458/x
3. Step 3: Cross multiply
   23,602x = 35,458 × 35,458
4. Step 4: Simplify right side
   23,602x = 1,257,269,764
5. Step 5: Solve for x
   x = 1,257,269,764/23,602
6. Step 6: Final answer
   x = 53,269.63