Finding the Third Proportional to 6,261 and 12,753.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,261 : 12,753.38 = 12,753.38 : x
2. Step 2: Convert to fraction form
   6,261/12,753.38 = 12,753.38/x
3. Step 3: Cross multiply
   6,261x = 12,753.38 × 12,753.38
4. Step 4: Simplify right side
   6,261x = 162,648,573.89
5. Step 5: Solve for x
   x = 162,648,573.89/6,261
6. Step 6: Final answer
   x = 25,978.05