Finding the Third Proportional to 1,228.50 and 3,056.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,228.50 : 3,056.06 = 3,056.06 : x
2. Step 2: Convert to fraction form
   1,228.50/3,056.06 = 3,056.06/x
3. Step 3: Cross multiply
   1,228.50x = 3,056.06 × 3,056.06
4. Step 4: Simplify right side
   1,228.50x = 9,339,518.00
5. Step 5: Solve for x
   x = 9,339,518.00/1,228.50
6. Step 6: Final answer
   x = 7,602.38