Finding the Third Proportional to 1,162.13 and 2,467.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.13 : 2,467.69 = 2,467.69 : x
2. Step 2: Convert to fraction form
   1,162.13/2,467.69 = 2,467.69/x
3. Step 3: Cross multiply
   1,162.13x = 2,467.69 × 2,467.69
4. Step 4: Simplify right side
   1,162.13x = 6,089,481.60
5. Step 5: Solve for x
   x = 6,089,481.60/1,162.13
6. Step 6: Final answer
   x = 5,239.95