Finding the Third Proportional to 16,346 and 25,898

Step by Step Solution

1. Step 1: Write the proportion equation
   16,346 : 25,898 = 25,898 : x
2. Step 2: Convert to fraction form
   16,346/25,898 = 25,898/x
3. Step 3: Cross multiply
   16,346x = 25,898 × 25,898
4. Step 4: Simplify right side
   16,346x = 670,706,404
5. Step 5: Solve for x
   x = 670,706,404/16,346
6. Step 6: Final answer
   x = 41,031.84