Finding the Third Proportional to 17,214 and 25,500.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,214 : 25,500.50 = 25,500.50 : x
2. Step 2: Convert to fraction form
   17,214/25,500.50 = 25,500.50/x
3. Step 3: Cross multiply
   17,214x = 25,500.50 × 25,500.50
4. Step 4: Simplify right side
   17,214x = 650,275,500.25
5. Step 5: Solve for x
   x = 650,275,500.25/17,214
6. Step 6: Final answer
   x = 37,775.97