Finding the Third Proportional to 3,365.25 and 7,820.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,365.25 : 7,820.63 = 7,820.63 : x
2. Step 2: Convert to fraction form
   3,365.25/7,820.63 = 7,820.63/x
3. Step 3: Cross multiply
   3,365.25x = 7,820.63 × 7,820.63
4. Step 4: Simplify right side
   3,365.25x = 61,162,175.39
5. Step 5: Solve for x
   x = 61,162,175.39/3,365.25
6. Step 6: Final answer
   x = 18,174.63