Finding the Third Proportional to 2,577.13 and 3,929.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.13 : 3,929.77 = 3,929.77 : x
2. Step 2: Convert to fraction form
   2,577.13/3,929.77 = 3,929.77/x
3. Step 3: Cross multiply
   2,577.13x = 3,929.77 × 3,929.77
4. Step 4: Simplify right side
   2,577.13x = 15,443,057.87
5. Step 5: Solve for x
   x = 15,443,057.87/2,577.13
6. Step 6: Final answer
   x = 5,992.35