Finding the Third Proportional to 10,000 and 17,816

Step by Step Solution

1. Step 1: Write the proportion equation
   10,000 : 17,816 = 17,816 : x
2. Step 2: Convert to fraction form
   10,000/17,816 = 17,816/x
3. Step 3: Cross multiply
   10,000x = 17,816 × 17,816
4. Step 4: Simplify right side
   10,000x = 317,409,856
5. Step 5: Solve for x
   x = 317,409,856/10,000
6. Step 6: Final answer
   x = 31,740.99