Finding the Third Proportional to 5,241.38 and 7,646.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,241.38 : 7,646.06 = 7,646.06 : x
2. Step 2: Convert to fraction form
   5,241.38/7,646.06 = 7,646.06/x
3. Step 3: Cross multiply
   5,241.38x = 7,646.06 × 7,646.06
4. Step 4: Simplify right side
   5,241.38x = 58,462,271.75
5. Step 5: Solve for x
   x = 58,462,271.75/5,241.38
6. Step 6: Final answer
   x = 11,154.00