Finding the Third Proportional to 1,196.53 and 1,753.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.53 : 1,753.13 = 1,753.13 : x
2. Step 2: Convert to fraction form
   1,196.53/1,753.13 = 1,753.13/x
3. Step 3: Cross multiply
   1,196.53x = 1,753.13 × 1,753.13
4. Step 4: Simplify right side
   1,196.53x = 3,073,447.27
5. Step 5: Solve for x
   x = 3,073,447.27/1,196.53
6. Step 6: Final answer
   x = 2,568.63