Finding the Third Proportional to 17,658 and 25,896

Step by Step Solution

1. Step 1: Write the proportion equation
   17,658 : 25,896 = 25,896 : x
2. Step 2: Convert to fraction form
   17,658/25,896 = 25,896/x
3. Step 3: Cross multiply
   17,658x = 25,896 × 25,896
4. Step 4: Simplify right side
   17,658x = 670,602,816
5. Step 5: Solve for x
   x = 670,602,816/17,658
6. Step 6: Final answer
   x = 37,977.28