Finding the Third Proportional to 5,200 and 10,642

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200 : 10,642 = 10,642 : x
2. Step 2: Convert to fraction form
   5,200/10,642 = 10,642/x
3. Step 3: Cross multiply
   5,200x = 10,642 × 10,642
4. Step 4: Simplify right side
   5,200x = 113,252,164
5. Step 5: Solve for x
   x = 113,252,164/5,200
6. Step 6: Final answer
   x = 21,779.26