Finding the Third Proportional to 3,654.49 and 5,885.47

Step by Step Solution

1. Step 1: Write the proportion equation
   3,654.49 : 5,885.47 = 5,885.47 : x
2. Step 2: Convert to fraction form
   3,654.49/5,885.47 = 5,885.47/x
3. Step 3: Cross multiply
   3,654.49x = 5,885.47 × 5,885.47
4. Step 4: Simplify right side
   3,654.49x = 34,638,788.39
5. Step 5: Solve for x
   x = 34,638,788.39/3,654.49
6. Step 6: Final answer
   x = 9,478.41