Finding the Third Proportional to 10,624 and 22,464

Step by Step Solution

1. Step 1: Write the proportion equation
   10,624 : 22,464 = 22,464 : x
2. Step 2: Convert to fraction form
   10,624/22,464 = 22,464/x
3. Step 3: Cross multiply
   10,624x = 22,464 × 22,464
4. Step 4: Simplify right side
   10,624x = 504,631,296
5. Step 5: Solve for x
   x = 504,631,296/10,624
6. Step 6: Final answer
   x = 47,499.18