Finding the Third Proportional to 10,000 and 14,676

Step by Step Solution

1. Step 1: Write the proportion equation
   10,000 : 14,676 = 14,676 : x
2. Step 2: Convert to fraction form
   10,000/14,676 = 14,676/x
3. Step 3: Cross multiply
   10,000x = 14,676 × 14,676
4. Step 4: Simplify right side
   10,000x = 215,384,976
5. Step 5: Solve for x
   x = 215,384,976/10,000
6. Step 6: Final answer
   x = 21,538.50