Finding the Third Proportional to 3,406.13 and 4,820.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,406.13 : 4,820.06 = 4,820.06 : x
2. Step 2: Convert to fraction form
   3,406.13/4,820.06 = 4,820.06/x
3. Step 3: Cross multiply
   3,406.13x = 4,820.06 × 4,820.06
4. Step 4: Simplify right side
   3,406.13x = 23,233,002.50
5. Step 5: Solve for x
   x = 23,233,002.50/3,406.13
6. Step 6: Final answer
   x = 6,820.95