Finding the Third Proportional to 5,110.88 and 7,814.81

Step by Step Solution

1. Step 1: Write the proportion equation
   5,110.88 : 7,814.81 = 7,814.81 : x
2. Step 2: Convert to fraction form
   5,110.88/7,814.81 = 7,814.81/x
3. Step 3: Cross multiply
   5,110.88x = 7,814.81 × 7,814.81
4. Step 4: Simplify right side
   5,110.88x = 61,071,294.41
5. Step 5: Solve for x
   x = 61,071,294.41/5,110.88
6. Step 6: Final answer
   x = 11,949.28