Finding the Third Proportional to 9,706.50 and 11,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,706.50 : 11,164.50 = 11,164.50 : x
2. Step 2: Convert to fraction form
   9,706.50/11,164.50 = 11,164.50/x
3. Step 3: Cross multiply
   9,706.50x = 11,164.50 × 11,164.50
4. Step 4: Simplify right side
   9,706.50x = 124,646,060.25
5. Step 5: Solve for x
   x = 124,646,060.25/9,706.50
6. Step 6: Final answer
   x = 12,841.50