Finding the Third Proportional to 2,402 and 4,870

Step by Step Solution

1. Step 1: Write the proportion equation
   2,402 : 4,870 = 4,870 : x
2. Step 2: Convert to fraction form
   2,402/4,870 = 4,870/x
3. Step 3: Cross multiply
   2,402x = 4,870 × 4,870
4. Step 4: Simplify right side
   2,402x = 23,716,900
5. Step 5: Solve for x
   x = 23,716,900/2,402
6. Step 6: Final answer
   x = 9,873.81