Finding the Third Proportional to 16,294 and 25,278

Step by Step Solution

1. Step 1: Write the proportion equation
   16,294 : 25,278 = 25,278 : x
2. Step 2: Convert to fraction form
   16,294/25,278 = 25,278/x
3. Step 3: Cross multiply
   16,294x = 25,278 × 25,278
4. Step 4: Simplify right side
   16,294x = 638,977,284
5. Step 5: Solve for x
   x = 638,977,284/16,294
6. Step 6: Final answer
   x = 39,215.50