Finding the Third Proportional to 1,227.66 and 1,870.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,227.66 : 1,870.17 = 1,870.17 : x
2. Step 2: Convert to fraction form
   1,227.66/1,870.17 = 1,870.17/x
3. Step 3: Cross multiply
   1,227.66x = 1,870.17 × 1,870.17
4. Step 4: Simplify right side
   1,227.66x = 3,497,542.84
5. Step 5: Solve for x
   x = 3,497,542.84/1,227.66
6. Step 6: Final answer
   x = 2,848.96