Finding the Third Proportional to 5,215.64 and 10,775.53

Step by Step Solution

1. Step 1: Write the proportion equation
   5,215.64 : 10,775.53 = 10,775.53 : x
2. Step 2: Convert to fraction form
   5,215.64/10,775.53 = 10,775.53/x
3. Step 3: Cross multiply
   5,215.64x = 10,775.53 × 10,775.53
4. Step 4: Simplify right side
   5,215.64x = 116,112,073.72
5. Step 5: Solve for x
   x = 116,112,073.72/5,215.64
6. Step 6: Final answer
   x = 22,262.28