Finding the Third Proportional to 7,310 and 17,355

Step by Step Solution

1. Step 1: Write the proportion equation
   7,310 : 17,355 = 17,355 : x
2. Step 2: Convert to fraction form
   7,310/17,355 = 17,355/x
3. Step 3: Cross multiply
   7,310x = 17,355 × 17,355
4. Step 4: Simplify right side
   7,310x = 301,196,025
5. Step 5: Solve for x
   x = 301,196,025/7,310
6. Step 6: Final answer
   x = 41,203.29