Finding the Third Proportional to 3,564.42 and 7,840.13

Step by Step Solution

1. Step 1: Write the proportion equation
   3,564.42 : 7,840.13 = 7,840.13 : x
2. Step 2: Convert to fraction form
   3,564.42/7,840.13 = 7,840.13/x
3. Step 3: Cross multiply
   3,564.42x = 7,840.13 × 7,840.13
4. Step 4: Simplify right side
   3,564.42x = 61,467,560.02
5. Step 5: Solve for x
   x = 61,467,560.02/3,564.42
6. Step 6: Final answer
   x = 17,244.75