Finding the Third Proportional to 23,714 and 34,594

Step by Step Solution

1. Step 1: Write the proportion equation
   23,714 : 34,594 = 34,594 : x
2. Step 2: Convert to fraction form
   23,714/34,594 = 34,594/x
3. Step 3: Cross multiply
   23,714x = 34,594 × 34,594
4. Step 4: Simplify right side
   23,714x = 1,196,744,836
5. Step 5: Solve for x
   x = 1,196,744,836/23,714
6. Step 6: Final answer
   x = 50,465.75