Finding the Third Proportional to 17,624.25 and 25,774.88

Step by Step Solution

1. Step 1: Write the proportion equation
   17,624.25 : 25,774.88 = 25,774.88 : x
2. Step 2: Convert to fraction form
   17,624.25/25,774.88 = 25,774.88/x
3. Step 3: Cross multiply
   17,624.25x = 25,774.88 × 25,774.88
4. Step 4: Simplify right side
   17,624.25x = 664,344,181.27
5. Step 5: Solve for x
   x = 664,344,181.27/17,624.25
6. Step 6: Final answer
   x = 37,694.89