Finding the Third Proportional to 17,408.25 and 37,968.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,408.25 : 37,968.75 = 37,968.75 : x
2. Step 2: Convert to fraction form
   17,408.25/37,968.75 = 37,968.75/x
3. Step 3: Cross multiply
   17,408.25x = 37,968.75 × 37,968.75
4. Step 4: Simplify right side
   17,408.25x = 1,441,625,976.56
5. Step 5: Solve for x
   x = 1,441,625,976.56/17,408.25
6. Step 6: Final answer
   x = 82,812.80