Finding the Third Proportional to 2,878.31 and 5,972.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,878.31 : 5,972.63 = 5,972.63 : x
2. Step 2: Convert to fraction form
   2,878.31/5,972.63 = 5,972.63/x
3. Step 3: Cross multiply
   2,878.31x = 5,972.63 × 5,972.63
4. Step 4: Simplify right side
   2,878.31x = 35,672,249.39
5. Step 5: Solve for x
   x = 35,672,249.39/2,878.31
6. Step 6: Final answer
   x = 12,393.46