Finding the Third Proportional to 1,078 and 1,445.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,078 : 1,445.50 = 1,445.50 : x
2. Step 2: Convert to fraction form
   1,078/1,445.50 = 1,445.50/x
3. Step 3: Cross multiply
   1,078x = 1,445.50 × 1,445.50
4. Step 4: Simplify right side
   1,078x = 2,089,470.25
5. Step 5: Solve for x
   x = 2,089,470.25/1,078
6. Step 6: Final answer
   x = 1,938.28