Finding the Third Proportional to 6,861.38 and 14,609.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,861.38 : 14,609.25 = 14,609.25 : x
2. Step 2: Convert to fraction form
   6,861.38/14,609.25 = 14,609.25/x
3. Step 3: Cross multiply
   6,861.38x = 14,609.25 × 14,609.25
4. Step 4: Simplify right side
   6,861.38x = 213,430,185.56
5. Step 5: Solve for x
   x = 213,430,185.56/6,861.38
6. Step 6: Final answer
   x = 31,106.04