Finding the Third Proportional to 17,626 and 25,735.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,626 : 25,735.50 = 25,735.50 : x
2. Step 2: Convert to fraction form
   17,626/25,735.50 = 25,735.50/x
3. Step 3: Cross multiply
   17,626x = 25,735.50 × 25,735.50
4. Step 4: Simplify right side
   17,626x = 662,315,960.25
5. Step 5: Solve for x
   x = 662,315,960.25/17,626
6. Step 6: Final answer
   x = 37,576.08