Finding the Third Proportional to 1,976.50 and 4,172

Step by Step Solution

1. Step 1: Write the proportion equation
   1,976.50 : 4,172 = 4,172 : x
2. Step 2: Convert to fraction form
   1,976.50/4,172 = 4,172/x
3. Step 3: Cross multiply
   1,976.50x = 4,172 × 4,172
4. Step 4: Simplify right side
   1,976.50x = 17,405,584
5. Step 5: Solve for x
   x = 17,405,584/1,976.50
6. Step 6: Final answer
   x = 8,806.27