Finding the Third Proportional to 2,543.63 and 3,850.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,543.63 : 3,850.88 = 3,850.88 : x
2. Step 2: Convert to fraction form
   2,543.63/3,850.88 = 3,850.88/x
3. Step 3: Cross multiply
   2,543.63x = 3,850.88 × 3,850.88
4. Step 4: Simplify right side
   2,543.63x = 14,829,238.27
5. Step 5: Solve for x
   x = 14,829,238.27/2,543.63
6. Step 6: Final answer
   x = 5,829.96