Finding the Third Proportional to 9,677 and 20,392

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677 : 20,392 = 20,392 : x
2. Step 2: Convert to fraction form
   9,677/20,392 = 20,392/x
3. Step 3: Cross multiply
   9,677x = 20,392 × 20,392
4. Step 4: Simplify right side
   9,677x = 415,833,664
5. Step 5: Solve for x
   x = 415,833,664/9,677
6. Step 6: Final answer
   x = 42,971.34