Finding the Third Proportional to 3,820.50 and 8,215.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,820.50 : 8,215.88 = 8,215.88 : x
2. Step 2: Convert to fraction form
   3,820.50/8,215.88 = 8,215.88/x
3. Step 3: Cross multiply
   3,820.50x = 8,215.88 × 8,215.88
4. Step 4: Simplify right side
   3,820.50x = 67,500,602.02
5. Step 5: Solve for x
   x = 67,500,602.02/3,820.50
6. Step 6: Final answer
   x = 17,668.00