Finding the Third Proportional to 1,229.50 and 1,903.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,229.50 : 1,903.75 = 1,903.75 : x
2. Step 2: Convert to fraction form
   1,229.50/1,903.75 = 1,903.75/x
3. Step 3: Cross multiply
   1,229.50x = 1,903.75 × 1,903.75
4. Step 4: Simplify right side
   1,229.50x = 3,624,264.06
5. Step 5: Solve for x
   x = 3,624,264.06/1,229.50
6. Step 6: Final answer
   x = 2,947.75