Finding the Third Proportional to 1,191.80 and 2,464.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.80 : 2,464.59 = 2,464.59 : x
2. Step 2: Convert to fraction form
   1,191.80/2,464.59 = 2,464.59/x
3. Step 3: Cross multiply
   1,191.80x = 2,464.59 × 2,464.59
4. Step 4: Simplify right side
   1,191.80x = 6,074,222.35
5. Step 5: Solve for x
   x = 6,074,222.35/1,191.80
6. Step 6: Final answer
   x = 5,096.69