Finding the Third Proportional to 2,520.13 and 5,748.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,520.13 : 5,748.38 = 5,748.38 : x
2. Step 2: Convert to fraction form
   2,520.13/5,748.38 = 5,748.38/x
3. Step 3: Cross multiply
   2,520.13x = 5,748.38 × 5,748.38
4. Step 4: Simplify right side
   2,520.13x = 33,043,815.14
5. Step 5: Solve for x
   x = 33,043,815.14/2,520.13
6. Step 6: Final answer
   x = 13,111.97