Finding the Third Proportional to 4,680 and 7,300

Step by Step Solution

1. Step 1: Write the proportion equation
   4,680 : 7,300 = 7,300 : x
2. Step 2: Convert to fraction form
   4,680/7,300 = 7,300/x
3. Step 3: Cross multiply
   4,680x = 7,300 × 7,300
4. Step 4: Simplify right side
   4,680x = 53,290,000
5. Step 5: Solve for x
   x = 53,290,000/4,680
6. Step 6: Final answer
   x = 11,386.75