Finding the Third Proportional to 900 and 1,966.63

Step by Step Solution

1. Step 1: Write the proportion equation
   900 : 1,966.63 = 1,966.63 : x
2. Step 2: Convert to fraction form
   900/1,966.63 = 1,966.63/x
3. Step 3: Cross multiply
   900x = 1,966.63 × 1,966.63
4. Step 4: Simplify right side
   900x = 3,867,613.89
5. Step 5: Solve for x
   x = 3,867,613.89/900
6. Step 6: Final answer
   x = 4,297.35