Finding the Third Proportional to 2,435.63 and 5,298.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,435.63 : 5,298.19 = 5,298.19 : x
2. Step 2: Convert to fraction form
   2,435.63/5,298.19 = 5,298.19/x
3. Step 3: Cross multiply
   2,435.63x = 5,298.19 × 5,298.19
4. Step 4: Simplify right side
   2,435.63x = 28,070,790.79
5. Step 5: Solve for x
   x = 28,070,790.79/2,435.63
6. Step 6: Final answer
   x = 11,525.09