Finding the Third Proportional to 1,226 and 1,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,226 : 1,746.50 = 1,746.50 : x
2. Step 2: Convert to fraction form
   1,226/1,746.50 = 1,746.50/x
3. Step 3: Cross multiply
   1,226x = 1,746.50 × 1,746.50
4. Step 4: Simplify right side
   1,226x = 3,050,262.25
5. Step 5: Solve for x
   x = 3,050,262.25/1,226
6. Step 6: Final answer
   x = 2,487.98