Finding the Third Proportional to 7,855.50 and 9,955.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,855.50 : 9,955.50 = 9,955.50 : x
2. Step 2: Convert to fraction form
   7,855.50/9,955.50 = 9,955.50/x
3. Step 3: Cross multiply
   7,855.50x = 9,955.50 × 9,955.50
4. Step 4: Simplify right side
   7,855.50x = 99,111,980.25
5. Step 5: Solve for x
   x = 99,111,980.25/7,855.50
6. Step 6: Final answer
   x = 12,616.89