Finding the Third Proportional to 8,003.81 and 10,314.84

Step by Step Solution

1. Step 1: Write the proportion equation
   8,003.81 : 10,314.84 = 10,314.84 : x
2. Step 2: Convert to fraction form
   8,003.81/10,314.84 = 10,314.84/x
3. Step 3: Cross multiply
   8,003.81x = 10,314.84 × 10,314.84
4. Step 4: Simplify right side
   8,003.81x = 106,396,001.59
5. Step 5: Solve for x
   x = 106,396,001.59/8,003.81
6. Step 6: Final answer
   x = 13,293.17