Finding the Third Proportional to 3,624 and 7,736.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,624 : 7,736.25 = 7,736.25 : x
2. Step 2: Convert to fraction form
   3,624/7,736.25 = 7,736.25/x
3. Step 3: Cross multiply
   3,624x = 7,736.25 × 7,736.25
4. Step 4: Simplify right side
   3,624x = 59,849,564.06
5. Step 5: Solve for x
   x = 59,849,564.06/3,624
6. Step 6: Final answer
   x = 16,514.78