Finding the Third Proportional to 1,228 and 1,901.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,228 : 1,901.50 = 1,901.50 : x
2. Step 2: Convert to fraction form
   1,228/1,901.50 = 1,901.50/x
3. Step 3: Cross multiply
   1,228x = 1,901.50 × 1,901.50
4. Step 4: Simplify right side
   1,228x = 3,615,702.25
5. Step 5: Solve for x
   x = 3,615,702.25/1,228
6. Step 6: Final answer
   x = 2,944.38