Finding the Third Proportional to 1,077.50 and 1,446.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,077.50 : 1,446.75 = 1,446.75 : x
2. Step 2: Convert to fraction form
   1,077.50/1,446.75 = 1,446.75/x
3. Step 3: Cross multiply
   1,077.50x = 1,446.75 × 1,446.75
4. Step 4: Simplify right side
   1,077.50x = 2,093,085.56
5. Step 5: Solve for x
   x = 2,093,085.56/1,077.50
6. Step 6: Final answer
   x = 1,942.54