Finding the Third Proportional to 7,761.75 and 12,295.78

Step by Step Solution

1. Step 1: Write the proportion equation
   7,761.75 : 12,295.78 = 12,295.78 : x
2. Step 2: Convert to fraction form
   7,761.75/12,295.78 = 12,295.78/x
3. Step 3: Cross multiply
   7,761.75x = 12,295.78 × 12,295.78
4. Step 4: Simplify right side
   7,761.75x = 151,186,236.55
5. Step 5: Solve for x
   x = 151,186,236.55/7,761.75
6. Step 6: Final answer
   x = 19,478.37