Finding the Third Proportional to 1,234 and 2,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,234 : 2,665.50 = 2,665.50 : x
2. Step 2: Convert to fraction form
   1,234/2,665.50 = 2,665.50/x
3. Step 3: Cross multiply
   1,234x = 2,665.50 × 2,665.50
4. Step 4: Simplify right side
   1,234x = 7,104,890.25
5. Step 5: Solve for x
   x = 7,104,890.25/1,234
6. Step 6: Final answer
   x = 5,757.61