Finding the Third Proportional to 1,422.56 and 2,113.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,422.56 : 2,113.59 = 2,113.59 : x
2. Step 2: Convert to fraction form
   1,422.56/2,113.59 = 2,113.59/x
3. Step 3: Cross multiply
   1,422.56x = 2,113.59 × 2,113.59
4. Step 4: Simplify right side
   1,422.56x = 4,467,278.54
5. Step 5: Solve for x
   x = 4,467,278.54/1,422.56
6. Step 6: Final answer
   x = 3,140.30