Finding the Third Proportional to 1,013.63 and 1,353.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013.63 : 1,353.38 = 1,353.38 : x
2. Step 2: Convert to fraction form
   1,013.63/1,353.38 = 1,353.38/x
3. Step 3: Cross multiply
   1,013.63x = 1,353.38 × 1,353.38
4. Step 4: Simplify right side
   1,013.63x = 1,831,623.89
5. Step 5: Solve for x
   x = 1,831,623.89/1,013.63
6. Step 6: Final answer
   x = 1,807.00