Finding the Third Proportional to 1,102.13 and 2,317.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,102.13 : 2,317.88 = 2,317.88 : x
2. Step 2: Convert to fraction form
   1,102.13/2,317.88 = 2,317.88/x
3. Step 3: Cross multiply
   1,102.13x = 2,317.88 × 2,317.88
4. Step 4: Simplify right side
   1,102.13x = 5,372,544.52
5. Step 5: Solve for x
   x = 5,372,544.52/1,102.13
6. Step 6: Final answer
   x = 4,874.71