Finding the Third Proportional to 2,777.63 and 4,223.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,777.63 : 4,223.81 = 4,223.81 : x
2. Step 2: Convert to fraction form
   2,777.63/4,223.81 = 4,223.81/x
3. Step 3: Cross multiply
   2,777.63x = 4,223.81 × 4,223.81
4. Step 4: Simplify right side
   2,777.63x = 17,840,592.04
5. Step 5: Solve for x
   x = 17,840,592.04/2,777.63
6. Step 6: Final answer
   x = 6,422.97