Finding the Third Proportional to 1,838.95 and 3,986.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,838.95 : 3,986.72 = 3,986.72 : x
2. Step 2: Convert to fraction form
   1,838.95/3,986.72 = 3,986.72/x
3. Step 3: Cross multiply
   1,838.95x = 3,986.72 × 3,986.72
4. Step 4: Simplify right side
   1,838.95x = 15,893,926.39
5. Step 5: Solve for x
   x = 15,893,926.39/1,838.95
6. Step 6: Final answer
   x = 8,642.92