Finding the Third Proportional to 2,810.63 and 4,200.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,810.63 : 4,200.38 = 4,200.38 : x
2. Step 2: Convert to fraction form
   2,810.63/4,200.38 = 4,200.38/x
3. Step 3: Cross multiply
   2,810.63x = 4,200.38 × 4,200.38
4. Step 4: Simplify right side
   2,810.63x = 17,643,150.14
5. Step 5: Solve for x
   x = 17,643,150.14/2,810.63
6. Step 6: Final answer
   x = 6,277.30