Finding the Third Proportional to 10,010 and 21,624

Step by Step Solution

1. Step 1: Write the proportion equation
   10,010 : 21,624 = 21,624 : x
2. Step 2: Convert to fraction form
   10,010/21,624 = 21,624/x
3. Step 3: Cross multiply
   10,010x = 21,624 × 21,624
4. Step 4: Simplify right side
   10,010x = 467,597,376
5. Step 5: Solve for x
   x = 467,597,376/10,010
6. Step 6: Final answer
   x = 46,713.02