Finding the Third Proportional to 17,409 and 25,384.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,409 : 25,384.50 = 25,384.50 : x
2. Step 2: Convert to fraction form
   17,409/25,384.50 = 25,384.50/x
3. Step 3: Cross multiply
   17,409x = 25,384.50 × 25,384.50
4. Step 4: Simplify right side
   17,409x = 644,372,840.25
5. Step 5: Solve for x
   x = 644,372,840.25/17,409
6. Step 6: Final answer
   x = 37,013.78