Finding the Third Proportional to 1,054 and 2,269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,054 : 2,269.50 = 2,269.50 : x
2. Step 2: Convert to fraction form
   1,054/2,269.50 = 2,269.50/x
3. Step 3: Cross multiply
   1,054x = 2,269.50 × 2,269.50
4. Step 4: Simplify right side
   1,054x = 5,150,630.25
5. Step 5: Solve for x
   x = 5,150,630.25/1,054
6. Step 6: Final answer
   x = 4,886.75