Finding the Third Proportional to 4,170 and 10,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,170 : 10,213.50 = 10,213.50 : x
2. Step 2: Convert to fraction form
   4,170/10,213.50 = 10,213.50/x
3. Step 3: Cross multiply
   4,170x = 10,213.50 × 10,213.50
4. Step 4: Simplify right side
   4,170x = 104,315,582.25
5. Step 5: Solve for x
   x = 104,315,582.25/4,170
6. Step 6: Final answer
   x = 25,015.73