Finding the Third Proportional to 6,180.75 and 12,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,180.75 : 12,577.50 = 12,577.50 : x
2. Step 2: Convert to fraction form
   6,180.75/12,577.50 = 12,577.50/x
3. Step 3: Cross multiply
   6,180.75x = 12,577.50 × 12,577.50
4. Step 4: Simplify right side
   6,180.75x = 158,193,506.25
5. Step 5: Solve for x
   x = 158,193,506.25/6,180.75
6. Step 6: Final answer
   x = 25,594.55