Finding the Third Proportional to 2,156 and 5,102

Step by Step Solution

1. Step 1: Write the proportion equation
   2,156 : 5,102 = 5,102 : x
2. Step 2: Convert to fraction form
   2,156/5,102 = 5,102/x
3. Step 3: Cross multiply
   2,156x = 5,102 × 5,102
4. Step 4: Simplify right side
   2,156x = 26,030,404
5. Step 5: Solve for x
   x = 26,030,404/2,156
6. Step 6: Final answer
   x = 12,073.47