Finding the Third Proportional to 7,705.50 and 9,736.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,705.50 : 9,736.50 = 9,736.50 : x
2. Step 2: Convert to fraction form
   7,705.50/9,736.50 = 9,736.50/x
3. Step 3: Cross multiply
   7,705.50x = 9,736.50 × 9,736.50
4. Step 4: Simplify right side
   7,705.50x = 94,799,432.25
5. Step 5: Solve for x
   x = 94,799,432.25/7,705.50
6. Step 6: Final answer
   x = 12,302.83