Finding the Third Proportional to 25,740 and 34,344

Step by Step Solution

1. Step 1: Write the proportion equation
   25,740 : 34,344 = 34,344 : x
2. Step 2: Convert to fraction form
   25,740/34,344 = 34,344/x
3. Step 3: Cross multiply
   25,740x = 34,344 × 34,344
4. Step 4: Simplify right side
   25,740x = 1,179,510,336
5. Step 5: Solve for x
   x = 1,179,510,336/25,740
6. Step 6: Final answer
   x = 45,824.02