Finding the Third Proportional to 4,870 and 7,758

Step by Step Solution

1. Step 1: Write the proportion equation
   4,870 : 7,758 = 7,758 : x
2. Step 2: Convert to fraction form
   4,870/7,758 = 7,758/x
3. Step 3: Cross multiply
   4,870x = 7,758 × 7,758
4. Step 4: Simplify right side
   4,870x = 60,186,564
5. Step 5: Solve for x
   x = 60,186,564/4,870
6. Step 6: Final answer
   x = 12,358.64