Finding the Third Proportional to 5,500 and 13,354

Step by Step Solution

1. Step 1: Write the proportion equation
   5,500 : 13,354 = 13,354 : x
2. Step 2: Convert to fraction form
   5,500/13,354 = 13,354/x
3. Step 3: Cross multiply
   5,500x = 13,354 × 13,354
4. Step 4: Simplify right side
   5,500x = 178,329,316
5. Step 5: Solve for x
   x = 178,329,316/5,500
6. Step 6: Final answer
   x = 32,423.51