Finding the Third Proportional to 17,509 and 27,156

Step by Step Solution

1. Step 1: Write the proportion equation
   17,509 : 27,156 = 27,156 : x
2. Step 2: Convert to fraction form
   17,509/27,156 = 27,156/x
3. Step 3: Cross multiply
   17,509x = 27,156 × 27,156
4. Step 4: Simplify right side
   17,509x = 737,448,336
5. Step 5: Solve for x
   x = 737,448,336/17,509
6. Step 6: Final answer
   x = 42,118.24