Finding the Third Proportional to 17,657 and 25,896.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,657 : 25,896.50 = 25,896.50 : x
2. Step 2: Convert to fraction form
   17,657/25,896.50 = 25,896.50/x
3. Step 3: Cross multiply
   17,657x = 25,896.50 × 25,896.50
4. Step 4: Simplify right side
   17,657x = 670,628,712.25
5. Step 5: Solve for x
   x = 670,628,712.25/17,657
6. Step 6: Final answer
   x = 37,980.90