Finding the Third Proportional to 5,384.29 and 11,830.43

Step by Step Solution

1. Step 1: Write the proportion equation
   5,384.29 : 11,830.43 = 11,830.43 : x
2. Step 2: Convert to fraction form
   5,384.29/11,830.43 = 11,830.43/x
3. Step 3: Cross multiply
   5,384.29x = 11,830.43 × 11,830.43
4. Step 4: Simplify right side
   5,384.29x = 139,959,066.59
5. Step 5: Solve for x
   x = 139,959,066.59/5,384.29
6. Step 6: Final answer
   x = 25,993.99