Finding the Third Proportional to 1,291.41 and 1,946.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,291.41 : 1,946.37 = 1,946.37 : x
2. Step 2: Convert to fraction form
   1,291.41/1,946.37 = 1,946.37/x
3. Step 3: Cross multiply
   1,291.41x = 1,946.37 × 1,946.37
4. Step 4: Simplify right side
   1,291.41x = 3,788,368.04
5. Step 5: Solve for x
   x = 3,788,368.04/1,291.41
6. Step 6: Final answer
   x = 2,933.51