Finding the Third Proportional to 3,821.50 and 5,156

Step by Step Solution

1. Step 1: Write the proportion equation
   3,821.50 : 5,156 = 5,156 : x
2. Step 2: Convert to fraction form
   3,821.50/5,156 = 5,156/x
3. Step 3: Cross multiply
   3,821.50x = 5,156 × 5,156
4. Step 4: Simplify right side
   3,821.50x = 26,584,336
5. Step 5: Solve for x
   x = 26,584,336/3,821.50
6. Step 6: Final answer
   x = 6,956.52