Finding the Third Proportional to 464.63 and 993.38

Step by Step Solution

1. Step 1: Write the proportion equation
   464.63 : 993.38 = 993.38 : x
2. Step 2: Convert to fraction form
   464.63/993.38 = 993.38/x
3. Step 3: Cross multiply
   464.63x = 993.38 × 993.38
4. Step 4: Simplify right side
   464.63x = 986,793.89
5. Step 5: Solve for x
   x = 986,793.89/464.63
6. Step 6: Final answer
   x = 2,123.85