Finding the Third Proportional to 5,107.78 and 7,810.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,107.78 : 7,810.31 = 7,810.31 : x
2. Step 2: Convert to fraction form
   5,107.78/7,810.31 = 7,810.31/x
3. Step 3: Cross multiply
   5,107.78x = 7,810.31 × 7,810.31
4. Step 4: Simplify right side
   5,107.78x = 61,000,981.35
5. Step 5: Solve for x
   x = 61,000,981.35/5,107.78
6. Step 6: Final answer
   x = 11,942.76