Finding the Third Proportional to 12,624 and 17,154

Step by Step Solution

1. Step 1: Write the proportion equation
   12,624 : 17,154 = 17,154 : x
2. Step 2: Convert to fraction form
   12,624/17,154 = 17,154/x
3. Step 3: Cross multiply
   12,624x = 17,154 × 17,154
4. Step 4: Simplify right side
   12,624x = 294,259,716
5. Step 5: Solve for x
   x = 294,259,716/12,624
6. Step 6: Final answer
   x = 23,309.55