Finding the Third Proportional to 9,677 and 21,208

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677 : 21,208 = 21,208 : x
2. Step 2: Convert to fraction form
   9,677/21,208 = 21,208/x
3. Step 3: Cross multiply
   9,677x = 21,208 × 21,208
4. Step 4: Simplify right side
   9,677x = 449,779,264
5. Step 5: Solve for x
   x = 449,779,264/9,677
6. Step 6: Final answer
   x = 46,479.20