Finding the Third Proportional to 2,054.30 and 3,077.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,054.30 : 3,077.91 = 3,077.91 : x
2. Step 2: Convert to fraction form
   2,054.30/3,077.91 = 3,077.91/x
3. Step 3: Cross multiply
   2,054.30x = 3,077.91 × 3,077.91
4. Step 4: Simplify right side
   2,054.30x = 9,473,506.88
5. Step 5: Solve for x
   x = 9,473,506.88/2,054.30
6. Step 6: Final answer
   x = 4,611.56