Finding the Third Proportional to 16,097.48 and 24,626.53

Step by Step Solution

1. Step 1: Write the proportion equation
   16,097.48 : 24,626.53 = 24,626.53 : x
2. Step 2: Convert to fraction form
   16,097.48/24,626.53 = 24,626.53/x
3. Step 3: Cross multiply
   16,097.48x = 24,626.53 × 24,626.53
4. Step 4: Simplify right side
   16,097.48x = 606,466,041.41
5. Step 5: Solve for x
   x = 606,466,041.41/16,097.48
6. Step 6: Final answer
   x = 37,674.58