Finding the Third Proportional to 9,561 and 12,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,561 : 12,769.50 = 12,769.50 : x
2. Step 2: Convert to fraction form
   9,561/12,769.50 = 12,769.50/x
3. Step 3: Cross multiply
   9,561x = 12,769.50 × 12,769.50
4. Step 4: Simplify right side
   9,561x = 163,060,130.25
5. Step 5: Solve for x
   x = 163,060,130.25/9,561
6. Step 6: Final answer
   x = 17,054.72