Finding the Third Proportional to 2,145.19 and 4,652.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,145.19 : 4,652.72 = 4,652.72 : x
2. Step 2: Convert to fraction form
   2,145.19/4,652.72 = 4,652.72/x
3. Step 3: Cross multiply
   2,145.19x = 4,652.72 × 4,652.72
4. Step 4: Simplify right side
   2,145.19x = 21,647,791.77
5. Step 5: Solve for x
   x = 21,647,791.77/2,145.19
6. Step 6: Final answer
   x = 10,091.33