Finding the Third Proportional to 17,626.50 and 25,777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,626.50 : 25,777.50 = 25,777.50 : x
2. Step 2: Convert to fraction form
   17,626.50/25,777.50 = 25,777.50/x
3. Step 3: Cross multiply
   17,626.50x = 25,777.50 × 25,777.50
4. Step 4: Simplify right side
   17,626.50x = 664,479,506.25
5. Step 5: Solve for x
   x = 664,479,506.25/17,626.50
6. Step 6: Final answer
   x = 37,697.76