Finding the Third Proportional to 900 and 1,930.50

Step by Step Solution

1. Step 1: Write the proportion equation
   900 : 1,930.50 = 1,930.50 : x
2. Step 2: Convert to fraction form
   900/1,930.50 = 1,930.50/x
3. Step 3: Cross multiply
   900x = 1,930.50 × 1,930.50
4. Step 4: Simplify right side
   900x = 3,726,830.25
5. Step 5: Solve for x
   x = 3,726,830.25/900
6. Step 6: Final answer
   x = 4,140.92