Finding the Third Proportional to 1,226.81 and 2,605.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,226.81 : 2,605.50 = 2,605.50 : x
2. Step 2: Convert to fraction form
   1,226.81/2,605.50 = 2,605.50/x
3. Step 3: Cross multiply
   1,226.81x = 2,605.50 × 2,605.50
4. Step 4: Simplify right side
   1,226.81x = 6,788,630.25
5. Step 5: Solve for x
   x = 6,788,630.25/1,226.81
6. Step 6: Final answer
   x = 5,533.55