Finding the Third Proportional to 17,464 and 27,654

Step by Step Solution

1. Step 1: Write the proportion equation
   17,464 : 27,654 = 27,654 : x
2. Step 2: Convert to fraction form
   17,464/27,654 = 27,654/x
3. Step 3: Cross multiply
   17,464x = 27,654 × 27,654
4. Step 4: Simplify right side
   17,464x = 764,743,716
5. Step 5: Solve for x
   x = 764,743,716/17,464
6. Step 6: Final answer
   x = 43,789.72