Finding the Third Proportional to 10,010 and 20,677

Step by Step Solution

1. Step 1: Write the proportion equation
   10,010 : 20,677 = 20,677 : x
2. Step 2: Convert to fraction form
   10,010/20,677 = 20,677/x
3. Step 3: Cross multiply
   10,010x = 20,677 × 20,677
4. Step 4: Simplify right side
   10,010x = 427,538,329
5. Step 5: Solve for x
   x = 427,538,329/10,010
6. Step 6: Final answer
   x = 42,711.12