Finding the Third Proportional to 770.06 and 1,796.06

Step by Step Solution

1. Step 1: Write the proportion equation
   770.06 : 1,796.06 = 1,796.06 : x
2. Step 2: Convert to fraction form
   770.06/1,796.06 = 1,796.06/x
3. Step 3: Cross multiply
   770.06x = 1,796.06 × 1,796.06
4. Step 4: Simplify right side
   770.06x = 3,225,840.50
5. Step 5: Solve for x
   x = 3,225,840.50/770.06
6. Step 6: Final answer
   x = 4,189.06