Finding the Third Proportional to 647.16 and 973.69

Step by Step Solution

1. Step 1: Write the proportion equation
   647.16 : 973.69 = 973.69 : x
2. Step 2: Convert to fraction form
   647.16/973.69 = 973.69/x
3. Step 3: Cross multiply
   647.16x = 973.69 × 973.69
4. Step 4: Simplify right side
   647.16x = 948,067.35
5. Step 5: Solve for x
   x = 948,067.35/647.16
6. Step 6: Final answer
   x = 1,464.97