Finding the Third Proportional to 71,511 and 105,048

Step by Step Solution

1. Step 1: Write the proportion equation
   71,511 : 105,048 = 105,048 : x
2. Step 2: Convert to fraction form
   71,511/105,048 = 105,048/x
3. Step 3: Cross multiply
   71,511x = 105,048 × 105,048
4. Step 4: Simplify right side
   71,511x = 11,035,082,304
5. Step 5: Solve for x
   x = 11,035,082,304/71,511
6. Step 6: Final answer
   x = 154,313.07