Finding the Third Proportional to 1,222.31 and 1,684.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,222.31 : 1,684.13 = 1,684.13 : x
2. Step 2: Convert to fraction form
   1,222.31/1,684.13 = 1,684.13/x
3. Step 3: Cross multiply
   1,222.31x = 1,684.13 × 1,684.13
4. Step 4: Simplify right side
   1,222.31x = 2,836,277.02
5. Step 5: Solve for x
   x = 2,836,277.02/1,222.31
6. Step 6: Final answer
   x = 2,320.42