Finding the Third Proportional to 2,145.13 and 4,700.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,145.13 : 4,700.38 = 4,700.38 : x
2. Step 2: Convert to fraction form
   2,145.13/4,700.38 = 4,700.38/x
3. Step 3: Cross multiply
   2,145.13x = 4,700.38 × 4,700.38
4. Step 4: Simplify right side
   2,145.13x = 22,093,525.14
5. Step 5: Solve for x
   x = 22,093,525.14/2,145.13
6. Step 6: Final answer
   x = 10,299.41