Finding the Third Proportional to 1,460.25 and 1,947

Step by Step Solution

1. Step 1: Write the proportion equation
   1,460.25 : 1,947 = 1,947 : x
2. Step 2: Convert to fraction form
   1,460.25/1,947 = 1,947/x
3. Step 3: Cross multiply
   1,460.25x = 1,947 × 1,947
4. Step 4: Simplify right side
   1,460.25x = 3,790,809
5. Step 5: Solve for x
   x = 3,790,809/1,460.25
6. Step 6: Final answer
   x = 2,596