Finding the Third Proportional to 4,870 and 7,630

Step by Step Solution

1. Step 1: Write the proportion equation
   4,870 : 7,630 = 7,630 : x
2. Step 2: Convert to fraction form
   4,870/7,630 = 7,630/x
3. Step 3: Cross multiply
   4,870x = 7,630 × 7,630
4. Step 4: Simplify right side
   4,870x = 58,216,900
5. Step 5: Solve for x
   x = 58,216,900/4,870
6. Step 6: Final answer
   x = 11,954.19