Finding the Third Proportional to 7,536 and 17,904

Step by Step Solution

1. Step 1: Write the proportion equation
   7,536 : 17,904 = 17,904 : x
2. Step 2: Convert to fraction form
   7,536/17,904 = 17,904/x
3. Step 3: Cross multiply
   7,536x = 17,904 × 17,904
4. Step 4: Simplify right side
   7,536x = 320,553,216
5. Step 5: Solve for x
   x = 320,553,216/7,536
6. Step 6: Final answer
   x = 42,536.25