Finding the Third Proportional to 13,300 and 17,654

Step by Step Solution

1. Step 1: Write the proportion equation
   13,300 : 17,654 = 17,654 : x
2. Step 2: Convert to fraction form
   13,300/17,654 = 17,654/x
3. Step 3: Cross multiply
   13,300x = 17,654 × 17,654
4. Step 4: Simplify right side
   13,300x = 311,663,716
5. Step 5: Solve for x
   x = 311,663,716/13,300
6. Step 6: Final answer
   x = 23,433.36