Finding the Third Proportional to 73,824 and 104,030

Step by Step Solution

1. Step 1: Write the proportion equation
   73,824 : 104,030 = 104,030 : x
2. Step 2: Convert to fraction form
   73,824/104,030 = 104,030/x
3. Step 3: Cross multiply
   73,824x = 104,030 × 104,030
4. Step 4: Simplify right side
   73,824x = 10,822,240,900
5. Step 5: Solve for x
   x = 10,822,240,900/73,824
6. Step 6: Final answer
   x = 146,595.16