Finding the Third Proportional to 977.91 and 1,448.72

Step by Step Solution

1. Step 1: Write the proportion equation
   977.91 : 1,448.72 = 1,448.72 : x
2. Step 2: Convert to fraction form
   977.91/1,448.72 = 1,448.72/x
3. Step 3: Cross multiply
   977.91x = 1,448.72 × 1,448.72
4. Step 4: Simplify right side
   977.91x = 2,098,786.02
5. Step 5: Solve for x
   x = 2,098,786.02/977.91
6. Step 6: Final answer
   x = 2,146.20