Finding the Third Proportional to 3,818.63 and 5,738.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,818.63 : 5,738.06 = 5,738.06 : x
2. Step 2: Convert to fraction form
   3,818.63/5,738.06 = 5,738.06/x
3. Step 3: Cross multiply
   3,818.63x = 5,738.06 × 5,738.06
4. Step 4: Simplify right side
   3,818.63x = 32,925,361.25
5. Step 5: Solve for x
   x = 32,925,361.25/3,818.63
6. Step 6: Final answer
   x = 8,622.31