Finding the Third Proportional to 5,138.81 and 10,682.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,138.81 : 10,682.63 = 10,682.63 : x
2. Step 2: Convert to fraction form
   5,138.81/10,682.63 = 10,682.63/x
3. Step 3: Cross multiply
   5,138.81x = 10,682.63 × 10,682.63
4. Step 4: Simplify right side
   5,138.81x = 114,118,476.89
5. Step 5: Solve for x
   x = 114,118,476.89/5,138.81
6. Step 6: Final answer
   x = 22,207.17