Finding the Third Proportional to 946.27 and 1,412.86

Step by Step Solution

1. Step 1: Write the proportion equation
   946.27 : 1,412.86 = 1,412.86 : x
2. Step 2: Convert to fraction form
   946.27/1,412.86 = 1,412.86/x
3. Step 3: Cross multiply
   946.27x = 1,412.86 × 1,412.86
4. Step 4: Simplify right side
   946.27x = 1,996,171.61
5. Step 5: Solve for x
   x = 1,996,171.61/946.27
6. Step 6: Final answer
   x = 2,109.53