Finding the Third Proportional to 9,536 and 21,014

Step by Step Solution

1. Step 1: Write the proportion equation
   9,536 : 21,014 = 21,014 : x
2. Step 2: Convert to fraction form
   9,536/21,014 = 21,014/x
3. Step 3: Cross multiply
   9,536x = 21,014 × 21,014
4. Step 4: Simplify right side
   9,536x = 441,588,196
5. Step 5: Solve for x
   x = 441,588,196/9,536
6. Step 6: Final answer
   x = 46,307.49