Finding the Third Proportional to 1,422.58 and 2,153.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,422.58 : 2,153.72 = 2,153.72 : x
2. Step 2: Convert to fraction form
   1,422.58/2,153.72 = 2,153.72/x
3. Step 3: Cross multiply
   1,422.58x = 2,153.72 × 2,153.72
4. Step 4: Simplify right side
   1,422.58x = 4,638,501.30
5. Step 5: Solve for x
   x = 4,638,501.30/1,422.58
6. Step 6: Final answer
   x = 3,260.62