Finding the Third Proportional to 8,121.94 and 17,742.38

Step by Step Solution

1. Step 1: Write the proportion equation
   8,121.94 : 17,742.38 = 17,742.38 : x
2. Step 2: Convert to fraction form
   8,121.94/17,742.38 = 17,742.38/x
3. Step 3: Cross multiply
   8,121.94x = 17,742.38 × 17,742.38
4. Step 4: Simplify right side
   8,121.94x = 314,791,870.64
5. Step 5: Solve for x
   x = 314,791,870.64/8,121.94
6. Step 6: Final answer
   x = 38,758.22