Finding the Third Proportional to 19,424 and 29,500

Step by Step Solution

1. Step 1: Write the proportion equation
   19,424 : 29,500 = 29,500 : x
2. Step 2: Convert to fraction form
   19,424/29,500 = 29,500/x
3. Step 3: Cross multiply
   19,424x = 29,500 × 29,500
4. Step 4: Simplify right side
   19,424x = 870,250,000
5. Step 5: Solve for x
   x = 870,250,000/19,424
6. Step 6: Final answer
   x = 44,802.82