Finding the Third Proportional to 7,404 and 17,646

Step by Step Solution

1. Step 1: Write the proportion equation
   7,404 : 17,646 = 17,646 : x
2. Step 2: Convert to fraction form
   7,404/17,646 = 17,646/x
3. Step 3: Cross multiply
   7,404x = 17,646 × 17,646
4. Step 4: Simplify right side
   7,404x = 311,381,316
5. Step 5: Solve for x
   x = 311,381,316/7,404
6. Step 6: Final answer
   x = 42,055.82