Finding the Third Proportional to 6,026.81 and 12,978.56

Step by Step Solution

1. Step 1: Write the proportion equation
   6,026.81 : 12,978.56 = 12,978.56 : x
2. Step 2: Convert to fraction form
   6,026.81/12,978.56 = 12,978.56/x
3. Step 3: Cross multiply
   6,026.81x = 12,978.56 × 12,978.56
4. Step 4: Simplify right side
   6,026.81x = 168,443,084.57
5. Step 5: Solve for x
   x = 168,443,084.57/6,026.81
6. Step 6: Final answer
   x = 27,948.95