Finding the Third Proportional to 9,648 and 13,030.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,648 : 13,030.50 = 13,030.50 : x
2. Step 2: Convert to fraction form
   9,648/13,030.50 = 13,030.50/x
3. Step 3: Cross multiply
   9,648x = 13,030.50 × 13,030.50
4. Step 4: Simplify right side
   9,648x = 169,793,930.25
5. Step 5: Solve for x
   x = 169,793,930.25/9,648
6. Step 6: Final answer
   x = 17,598.87