Finding the Third Proportional to 15,882.75 and 37,624.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,882.75 : 37,624.50 = 37,624.50 : x
2. Step 2: Convert to fraction form
   15,882.75/37,624.50 = 37,624.50/x
3. Step 3: Cross multiply
   15,882.75x = 37,624.50 × 37,624.50
4. Step 4: Simplify right side
   15,882.75x = 1,415,603,000.25
5. Step 5: Solve for x
   x = 1,415,603,000.25/15,882.75
6. Step 6: Final answer
   x = 89,128.33