Finding the Third Proportional to 9,669 and 12,913.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,669 : 12,913.50 = 12,913.50 : x
2. Step 2: Convert to fraction form
   9,669/12,913.50 = 12,913.50/x
3. Step 3: Cross multiply
   9,669x = 12,913.50 × 12,913.50
4. Step 4: Simplify right side
   9,669x = 166,758,482.25
5. Step 5: Solve for x
   x = 166,758,482.25/9,669
6. Step 6: Final answer
   x = 17,246.71