Finding the Third Proportional to 890.16 and 1,421.72

Step by Step Solution

1. Step 1: Write the proportion equation
   890.16 : 1,421.72 = 1,421.72 : x
2. Step 2: Convert to fraction form
   890.16/1,421.72 = 1,421.72/x
3. Step 3: Cross multiply
   890.16x = 1,421.72 × 1,421.72
4. Step 4: Simplify right side
   890.16x = 2,021,284.20
5. Step 5: Solve for x
   x = 2,021,284.20/890.16
6. Step 6: Final answer
   x = 2,270.71