Finding the Third Proportional to 472.50 and 973.69

Step by Step Solution

1. Step 1: Write the proportion equation
   472.50 : 973.69 = 973.69 : x
2. Step 2: Convert to fraction form
   472.50/973.69 = 973.69/x
3. Step 3: Cross multiply
   472.50x = 973.69 × 973.69
4. Step 4: Simplify right side
   472.50x = 948,067.35
5. Step 5: Solve for x
   x = 948,067.35/472.50
6. Step 6: Final answer
   x = 2,006.49