Finding the Third Proportional to 23,606 and 35,464

Step by Step Solution

1. Step 1: Write the proportion equation
   23,606 : 35,464 = 35,464 : x
2. Step 2: Convert to fraction form
   23,606/35,464 = 35,464/x
3. Step 3: Cross multiply
   23,606x = 35,464 × 35,464
4. Step 4: Simplify right side
   23,606x = 1,257,695,296
5. Step 5: Solve for x
   x = 1,257,695,296/23,606
6. Step 6: Final answer
   x = 53,278.63