Finding the Third Proportional to 900 and 1,031.63

Step by Step Solution

1. Step 1: Write the proportion equation
   900 : 1,031.63 = 1,031.63 : x
2. Step 2: Convert to fraction form
   900/1,031.63 = 1,031.63/x
3. Step 3: Cross multiply
   900x = 1,031.63 × 1,031.63
4. Step 4: Simplify right side
   900x = 1,064,250.14
5. Step 5: Solve for x
   x = 1,064,250.14/900
6. Step 6: Final answer
   x = 1,182.50