Finding the Third Proportional to 5,577.75 and 13,120.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,577.75 : 13,120.88 = 13,120.88 : x
2. Step 2: Convert to fraction form
   5,577.75/13,120.88 = 13,120.88/x
3. Step 3: Cross multiply
   5,577.75x = 13,120.88 × 13,120.88
4. Step 4: Simplify right side
   5,577.75x = 172,157,360.77
5. Step 5: Solve for x
   x = 172,157,360.77/5,577.75
6. Step 6: Final answer
   x = 30,865.02