Finding the Third Proportional to 5,109.75 and 7,815.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,109.75 : 7,815.38 = 7,815.38 : x
2. Step 2: Convert to fraction form
   5,109.75/7,815.38 = 7,815.38/x
3. Step 3: Cross multiply
   5,109.75x = 7,815.38 × 7,815.38
4. Step 4: Simplify right side
   5,109.75x = 61,080,086.39
5. Step 5: Solve for x
   x = 61,080,086.39/5,109.75
6. Step 6: Final answer
   x = 11,953.63