Finding the Third Proportional to 2,194.50 and 4,814.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,194.50 : 4,814.06 = 4,814.06 : x
2. Step 2: Convert to fraction form
   2,194.50/4,814.06 = 4,814.06/x
3. Step 3: Cross multiply
   2,194.50x = 4,814.06 × 4,814.06
4. Step 4: Simplify right side
   2,194.50x = 23,175,197.75
5. Step 5: Solve for x
   x = 23,175,197.75/2,194.50
6. Step 6: Final answer
   x = 10,560.58