Finding the Third Proportional to 4,182 and 5,696.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,182 : 5,696.25 = 5,696.25 : x
2. Step 2: Convert to fraction form
   4,182/5,696.25 = 5,696.25/x
3. Step 3: Cross multiply
   4,182x = 5,696.25 × 5,696.25
4. Step 4: Simplify right side
   4,182x = 32,447,264.06
5. Step 5: Solve for x
   x = 32,447,264.06/4,182
6. Step 6: Final answer
   x = 7,758.79