Finding the Third Proportional to 10,624 and 13,448

Step by Step Solution

1. Step 1: Write the proportion equation
   10,624 : 13,448 = 13,448 : x
2. Step 2: Convert to fraction form
   10,624/13,448 = 13,448/x
3. Step 3: Cross multiply
   10,624x = 13,448 × 13,448
4. Step 4: Simplify right side
   10,624x = 180,848,704
5. Step 5: Solve for x
   x = 180,848,704/10,624
6. Step 6: Final answer
   x = 17,022.66