Finding the Third Proportional to 12,314 and 25,354

Step by Step Solution

1. Step 1: Write the proportion equation
   12,314 : 25,354 = 25,354 : x
2. Step 2: Convert to fraction form
   12,314/25,354 = 25,354/x
3. Step 3: Cross multiply
   12,314x = 25,354 × 25,354
4. Step 4: Simplify right side
   12,314x = 642,825,316
5. Step 5: Solve for x
   x = 642,825,316/12,314
6. Step 6: Final answer
   x = 52,202.80