Finding the Third Proportional to 1,050.50 and 2,261.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,050.50 : 2,261.38 = 2,261.38 : x
2. Step 2: Convert to fraction form
   1,050.50/2,261.38 = 2,261.38/x
3. Step 3: Cross multiply
   1,050.50x = 2,261.38 × 2,261.38
4. Step 4: Simplify right side
   1,050.50x = 5,113,816.89
5. Step 5: Solve for x
   x = 5,113,816.89/1,050.50
6. Step 6: Final answer
   x = 4,867.98