Finding the Third Proportional to 4,630 and 10,300

Step by Step Solution

1. Step 1: Write the proportion equation
   4,630 : 10,300 = 10,300 : x
2. Step 2: Convert to fraction form
   4,630/10,300 = 10,300/x
3. Step 3: Cross multiply
   4,630x = 10,300 × 10,300
4. Step 4: Simplify right side
   4,630x = 106,090,000
5. Step 5: Solve for x
   x = 106,090,000/4,630
6. Step 6: Final answer
   x = 22,913.61