Finding the Third Proportional to 1,164.75 and 2,449.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.75 : 2,449.50 = 2,449.50 : x
2. Step 2: Convert to fraction form
   1,164.75/2,449.50 = 2,449.50/x
3. Step 3: Cross multiply
   1,164.75x = 2,449.50 × 2,449.50
4. Step 4: Simplify right side
   1,164.75x = 6,000,050.25
5. Step 5: Solve for x
   x = 6,000,050.25/1,164.75
6. Step 6: Final answer
   x = 5,151.36