Finding the Third Proportional to 14,624 and 19,004

Step by Step Solution

1. Step 1: Write the proportion equation
   14,624 : 19,004 = 19,004 : x
2. Step 2: Convert to fraction form
   14,624/19,004 = 19,004/x
3. Step 3: Cross multiply
   14,624x = 19,004 × 19,004
4. Step 4: Simplify right side
   14,624x = 361,152,016
5. Step 5: Solve for x
   x = 361,152,016/14,624
6. Step 6: Final answer
   x = 24,695.84