Finding the Third Proportional to 9,570 and 12,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,570 : 12,706.50 = 12,706.50 : x
2. Step 2: Convert to fraction form
   9,570/12,706.50 = 12,706.50/x
3. Step 3: Cross multiply
   9,570x = 12,706.50 × 12,706.50
4. Step 4: Simplify right side
   9,570x = 161,455,142.25
5. Step 5: Solve for x
   x = 161,455,142.25/9,570
6. Step 6: Final answer
   x = 16,870.97