Finding the Third Proportional to 1,353.63 and 2,153.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,353.63 : 2,153.63 = 2,153.63 : x
2. Step 2: Convert to fraction form
   1,353.63/2,153.63 = 2,153.63/x
3. Step 3: Cross multiply
   1,353.63x = 2,153.63 × 2,153.63
4. Step 4: Simplify right side
   1,353.63x = 4,638,100.64
5. Step 5: Solve for x
   x = 4,638,100.64/1,353.63
6. Step 6: Final answer
   x = 3,426.43