Finding the Third Proportional to 5,308 and 12,338

Step by Step Solution

1. Step 1: Write the proportion equation
   5,308 : 12,338 = 12,338 : x
2. Step 2: Convert to fraction form
   5,308/12,338 = 12,338/x
3. Step 3: Cross multiply
   5,308x = 12,338 × 12,338
4. Step 4: Simplify right side
   5,308x = 152,226,244
5. Step 5: Solve for x
   x = 152,226,244/5,308
6. Step 6: Final answer
   x = 28,678.64