Finding the Third Proportional to 3,656.23 and 5,886.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,656.23 : 5,886.42 = 5,886.42 : x
2. Step 2: Convert to fraction form
   3,656.23/5,886.42 = 5,886.42/x
3. Step 3: Cross multiply
   3,656.23x = 5,886.42 × 5,886.42
4. Step 4: Simplify right side
   3,656.23x = 34,649,962.49
5. Step 5: Solve for x
   x = 34,649,962.49/3,656.23
6. Step 6: Final answer
   x = 9,476.96