Finding the Third Proportional to 7,969.38 and 17,511.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,969.38 : 17,511.50 = 17,511.50 : x
2. Step 2: Convert to fraction form
   7,969.38/17,511.50 = 17,511.50/x
3. Step 3: Cross multiply
   7,969.38x = 17,511.50 × 17,511.50
4. Step 4: Simplify right side
   7,969.38x = 306,652,632.25
5. Step 5: Solve for x
   x = 306,652,632.25/7,969.38
6. Step 6: Final answer
   x = 38,478.88