Finding the Third Proportional to 4,214 and 10,139

Step by Step Solution

1. Step 1: Write the proportion equation
   4,214 : 10,139 = 10,139 : x
2. Step 2: Convert to fraction form
   4,214/10,139 = 10,139/x
3. Step 3: Cross multiply
   4,214x = 10,139 × 10,139
4. Step 4: Simplify right side
   4,214x = 102,799,321
5. Step 5: Solve for x
   x = 102,799,321/4,214
6. Step 6: Final answer
   x = 24,394.71