Finding the Third Proportional to 23,714 and 35,634

Step by Step Solution

1. Step 1: Write the proportion equation
   23,714 : 35,634 = 35,634 : x
2. Step 2: Convert to fraction form
   23,714/35,634 = 35,634/x
3. Step 3: Cross multiply
   23,714x = 35,634 × 35,634
4. Step 4: Simplify right side
   23,714x = 1,269,781,956
5. Step 5: Solve for x
   x = 1,269,781,956/23,714
6. Step 6: Final answer
   x = 53,545.67