Finding the Third Proportional to 2,851.88 and 3,838.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,851.88 : 3,838.22 = 3,838.22 : x
2. Step 2: Convert to fraction form
   2,851.88/3,838.22 = 3,838.22/x
3. Step 3: Cross multiply
   2,851.88x = 3,838.22 × 3,838.22
4. Step 4: Simplify right side
   2,851.88x = 14,731,923.17
5. Step 5: Solve for x
   x = 14,731,923.17/2,851.88
6. Step 6: Final answer
   x = 5,165.70