Finding the Third Proportional to 1,013.77 and 2,189.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013.77 : 2,189.53 = 2,189.53 : x
2. Step 2: Convert to fraction form
   1,013.77/2,189.53 = 2,189.53/x
3. Step 3: Cross multiply
   1,013.77x = 2,189.53 × 2,189.53
4. Step 4: Simplify right side
   1,013.77x = 4,794,047.09
5. Step 5: Solve for x
   x = 4,794,047.09/1,013.77
6. Step 6: Final answer
   x = 4,728.95