Finding the Third Proportional to 2,191.22 and 4,820.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,191.22 : 4,820.69 = 4,820.69 : x
2. Step 2: Convert to fraction form
   2,191.22/4,820.69 = 4,820.69/x
3. Step 3: Cross multiply
   2,191.22x = 4,820.69 × 4,820.69
4. Step 4: Simplify right side
   2,191.22x = 23,239,027.97
5. Step 5: Solve for x
   x = 23,239,027.97/2,191.22
6. Step 6: Final answer
   x = 10,605.53