Finding the Third Proportional to 19,314 and 25,695

Step by Step Solution

1. Step 1: Write the proportion equation
   19,314 : 25,695 = 25,695 : x
2. Step 2: Convert to fraction form
   19,314/25,695 = 25,695/x
3. Step 3: Cross multiply
   19,314x = 25,695 × 25,695
4. Step 4: Simplify right side
   19,314x = 660,233,025
5. Step 5: Solve for x
   x = 660,233,025/19,314
6. Step 6: Final answer
   x = 34,184.17