Finding the Third Proportional to 2,806.88 and 4,677.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,806.88 : 4,677.94 = 4,677.94 : x
2. Step 2: Convert to fraction form
   2,806.88/4,677.94 = 4,677.94/x
3. Step 3: Cross multiply
   2,806.88x = 4,677.94 × 4,677.94
4. Step 4: Simplify right side
   2,806.88x = 21,883,099.25
5. Step 5: Solve for x
   x = 21,883,099.25/2,806.88
6. Step 6: Final answer
   x = 7,796.25