Finding the Third Proportional to 1,303.50 and 1,900.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,303.50 : 1,900.50 = 1,900.50 : x
2. Step 2: Convert to fraction form
   1,303.50/1,900.50 = 1,900.50/x
3. Step 3: Cross multiply
   1,303.50x = 1,900.50 × 1,900.50
4. Step 4: Simplify right side
   1,303.50x = 3,611,900.25
5. Step 5: Solve for x
   x = 3,611,900.25/1,303.50
6. Step 6: Final answer
   x = 2,770.92