Finding the Third Proportional to 1,422.14 and 2,192.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,422.14 : 2,192.06 = 2,192.06 : x
2. Step 2: Convert to fraction form
   1,422.14/2,192.06 = 2,192.06/x
3. Step 3: Cross multiply
   1,422.14x = 2,192.06 × 2,192.06
4. Step 4: Simplify right side
   1,422.14x = 4,805,138.00
5. Step 5: Solve for x
   x = 4,805,138.00/1,422.14
6. Step 6: Final answer
   x = 3,378.81