Finding the Third Proportional to 1,905.75 and 2,777.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,905.75 : 2,777.63 = 2,777.63 : x
2. Step 2: Convert to fraction form
   1,905.75/2,777.63 = 2,777.63/x
3. Step 3: Cross multiply
   1,905.75x = 2,777.63 × 2,777.63
4. Step 4: Simplify right side
   1,905.75x = 7,715,200.64
5. Step 5: Solve for x
   x = 7,715,200.64/1,905.75
6. Step 6: Final answer
   x = 4,048.38