Finding the Third Proportional to 17,578.50 and 27,624.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,578.50 : 27,624.75 = 27,624.75 : x
2. Step 2: Convert to fraction form
   17,578.50/27,624.75 = 27,624.75/x
3. Step 3: Cross multiply
   17,578.50x = 27,624.75 × 27,624.75
4. Step 4: Simplify right side
   17,578.50x = 763,126,812.56
5. Step 5: Solve for x
   x = 763,126,812.56/17,578.50
6. Step 6: Final answer
   x = 43,412.51