Finding the Third Proportional to 17,623 and 27,345

Step by Step Solution

1. Step 1: Write the proportion equation
   17,623 : 27,345 = 27,345 : x
2. Step 2: Convert to fraction form
   17,623/27,345 = 27,345/x
3. Step 3: Cross multiply
   17,623x = 27,345 × 27,345
4. Step 4: Simplify right side
   17,623x = 747,749,025
5. Step 5: Solve for x
   x = 747,749,025/17,623
6. Step 6: Final answer
   x = 42,430.29