Finding the Third Proportional to 669.50 and 977.38

Step by Step Solution

1. Step 1: Write the proportion equation
   669.50 : 977.38 = 977.38 : x
2. Step 2: Convert to fraction form
   669.50/977.38 = 977.38/x
3. Step 3: Cross multiply
   669.50x = 977.38 × 977.38
4. Step 4: Simplify right side
   669.50x = 955,261.89
5. Step 5: Solve for x
   x = 955,261.89/669.50
6. Step 6: Final answer
   x = 1,426.83