Finding the Third Proportional to 4,178.14 and 8,706.55

Step by Step Solution

1. Step 1: Write the proportion equation
   4,178.14 : 8,706.55 = 8,706.55 : x
2. Step 2: Convert to fraction form
   4,178.14/8,706.55 = 8,706.55/x
3. Step 3: Cross multiply
   4,178.14x = 8,706.55 × 8,706.55
4. Step 4: Simplify right side
   4,178.14x = 75,804,026.51
5. Step 5: Solve for x
   x = 75,804,026.51/4,178.14
6. Step 6: Final answer
   x = 18,142.99