Finding the Third Proportional to 2,145.63 and 4,701.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,145.63 : 4,701.38 = 4,701.38 : x
2. Step 2: Convert to fraction form
   2,145.63/4,701.38 = 4,701.38/x
3. Step 3: Cross multiply
   2,145.63x = 4,701.38 × 4,701.38
4. Step 4: Simplify right side
   2,145.63x = 22,102,926.89
5. Step 5: Solve for x
   x = 22,102,926.89/2,145.63
6. Step 6: Final answer
   x = 10,301.39