Finding the Third Proportional to 2,977.88 and 3,808.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,977.88 : 3,808.69 = 3,808.69 : x
2. Step 2: Convert to fraction form
   2,977.88/3,808.69 = 3,808.69/x
3. Step 3: Cross multiply
   2,977.88x = 3,808.69 × 3,808.69
4. Step 4: Simplify right side
   2,977.88x = 14,506,100.47
5. Step 5: Solve for x
   x = 14,506,100.47/2,977.88
6. Step 6: Final answer
   x = 4,871.29