Finding the Third Proportional to 1,222 and 1,914.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,222 : 1,914.25 = 1,914.25 : x
2. Step 2: Convert to fraction form
   1,222/1,914.25 = 1,914.25/x
3. Step 3: Cross multiply
   1,222x = 1,914.25 × 1,914.25
4. Step 4: Simplify right side
   1,222x = 3,664,353.06
5. Step 5: Solve for x
   x = 3,664,353.06/1,222
6. Step 6: Final answer
   x = 2,998.65