Finding the Third Proportional to 5,126.63 and 10,455.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,126.63 : 10,455.75 = 10,455.75 : x
2. Step 2: Convert to fraction form
   5,126.63/10,455.75 = 10,455.75/x
3. Step 3: Cross multiply
   5,126.63x = 10,455.75 × 10,455.75
4. Step 4: Simplify right side
   5,126.63x = 109,322,708.06
5. Step 5: Solve for x
   x = 109,322,708.06/5,126.63
6. Step 6: Final answer
   x = 21,324.50