Finding the Third Proportional to 7,679.75 and 16,725.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,679.75 : 16,725.25 = 16,725.25 : x
2. Step 2: Convert to fraction form
   7,679.75/16,725.25 = 16,725.25/x
3. Step 3: Cross multiply
   7,679.75x = 16,725.25 × 16,725.25
4. Step 4: Simplify right side
   7,679.75x = 279,733,987.56
5. Step 5: Solve for x
   x = 279,733,987.56/7,679.75
6. Step 6: Final answer
   x = 36,424.88