Finding the Third Proportional to 5,200.50 and 10,653

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200.50 : 10,653 = 10,653 : x
2. Step 2: Convert to fraction form
   5,200.50/10,653 = 10,653/x
3. Step 3: Cross multiply
   5,200.50x = 10,653 × 10,653
4. Step 4: Simplify right side
   5,200.50x = 113,486,409
5. Step 5: Solve for x
   x = 113,486,409/5,200.50
6. Step 6: Final answer
   x = 21,822.21