Finding the Third Proportional to 7,774.10 and 10,952.09

Step by Step Solution

1. Step 1: Write the proportion equation
   7,774.10 : 10,952.09 = 10,952.09 : x
2. Step 2: Convert to fraction form
   7,774.10/10,952.09 = 10,952.09/x
3. Step 3: Cross multiply
   7,774.10x = 10,952.09 × 10,952.09
4. Step 4: Simplify right side
   7,774.10x = 119,948,186.38
5. Step 5: Solve for x
   x = 119,948,186.38/7,774.10
6. Step 6: Final answer
   x = 15,429.20