Finding the Third Proportional to 3,820.75 and 8,101.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,820.75 : 8,101.25 = 8,101.25 : x
2. Step 2: Convert to fraction form
   3,820.75/8,101.25 = 8,101.25/x
3. Step 3: Cross multiply
   3,820.75x = 8,101.25 × 8,101.25
4. Step 4: Simplify right side
   3,820.75x = 65,630,251.56
5. Step 5: Solve for x
   x = 65,630,251.56/3,820.75
6. Step 6: Final answer
   x = 17,177.32