Finding the Third Proportional to 7,410 and 17,355

Step by Step Solution

1. Step 1: Write the proportion equation
   7,410 : 17,355 = 17,355 : x
2. Step 2: Convert to fraction form
   7,410/17,355 = 17,355/x
3. Step 3: Cross multiply
   7,410x = 17,355 × 17,355
4. Step 4: Simplify right side
   7,410x = 301,196,025
5. Step 5: Solve for x
   x = 301,196,025/7,410
6. Step 6: Final answer
   x = 40,647.24