Finding the Third Proportional to 3,645 and 7,549.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,645 : 7,549.31 = 7,549.31 : x
2. Step 2: Convert to fraction form
   3,645/7,549.31 = 7,549.31/x
3. Step 3: Cross multiply
   3,645x = 7,549.31 × 7,549.31
4. Step 4: Simplify right side
   3,645x = 56,992,119.22
5. Step 5: Solve for x
   x = 56,992,119.22/3,645
6. Step 6: Final answer
   x = 15,635.70