Finding the Third Proportional to 1,900.34 and 2,842.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,900.34 : 2,842.88 = 2,842.88 : x
2. Step 2: Convert to fraction form
   1,900.34/2,842.88 = 2,842.88/x
3. Step 3: Cross multiply
   1,900.34x = 2,842.88 × 2,842.88
4. Step 4: Simplify right side
   1,900.34x = 8,081,938.27
5. Step 5: Solve for x
   x = 8,081,938.27/1,900.34
6. Step 6: Final answer
   x = 4,252.90