Finding the Third Proportional to 4,580 and 10,000

Step by Step Solution

1. Step 1: Write the proportion equation
   4,580 : 10,000 = 10,000 : x
2. Step 2: Convert to fraction form
   4,580/10,000 = 10,000/x
3. Step 3: Cross multiply
   4,580x = 10,000 × 10,000
4. Step 4: Simplify right side
   4,580x = 100,000,000
5. Step 5: Solve for x
   x = 100,000,000/4,580
6. Step 6: Final answer
   x = 21,834.06