Finding the Third Proportional to 5,380.17 and 11,800.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,380.17 : 11,800.69 = 11,800.69 : x
2. Step 2: Convert to fraction form
   5,380.17/11,800.69 = 11,800.69/x
3. Step 3: Cross multiply
   5,380.17x = 11,800.69 × 11,800.69
4. Step 4: Simplify right side
   5,380.17x = 139,256,225.47
5. Step 5: Solve for x
   x = 139,256,225.47/5,380.17
6. Step 6: Final answer
   x = 25,883.23