Finding the Third Proportional to 1,925.63 and 2,871.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,925.63 : 2,871.38 = 2,871.38 : x
2. Step 2: Convert to fraction form
   1,925.63/2,871.38 = 2,871.38/x
3. Step 3: Cross multiply
   1,925.63x = 2,871.38 × 2,871.38
4. Step 4: Simplify right side
   1,925.63x = 8,244,794.39
5. Step 5: Solve for x
   x = 8,244,794.39/1,925.63
6. Step 6: Final answer
   x = 4,281.62