Finding the Third Proportional to 23,434 and 35,114

Step by Step Solution

1. Step 1: Write the proportion equation
   23,434 : 35,114 = 35,114 : x
2. Step 2: Convert to fraction form
   23,434/35,114 = 35,114/x
3. Step 3: Cross multiply
   23,434x = 35,114 × 35,114
4. Step 4: Simplify right side
   23,434x = 1,232,992,996
5. Step 5: Solve for x
   x = 1,232,992,996/23,434
6. Step 6: Final answer
   x = 52,615.56