Finding the Third Proportional to 17,640 and 27,300

Step by Step Solution

1. Step 1: Write the proportion equation
   17,640 : 27,300 = 27,300 : x
2. Step 2: Convert to fraction form
   17,640/27,300 = 27,300/x
3. Step 3: Cross multiply
   17,640x = 27,300 × 27,300
4. Step 4: Simplify right side
   17,640x = 745,290,000
5. Step 5: Solve for x
   x = 745,290,000/17,640
6. Step 6: Final answer
   x = 42,250