Finding the Third Proportional to 2,145.94 and 4,654.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,145.94 : 4,654.69 = 4,654.69 : x
2. Step 2: Convert to fraction form
   2,145.94/4,654.69 = 4,654.69/x
3. Step 3: Cross multiply
   2,145.94x = 4,654.69 × 4,654.69
4. Step 4: Simplify right side
   2,145.94x = 21,666,115.72
5. Step 5: Solve for x
   x = 21,666,115.72/2,145.94
6. Step 6: Final answer
   x = 10,096.34