Finding the Third Proportional to 27,677.44 and 42,974.25

Step by Step Solution

1. Step 1: Write the proportion equation
   27,677.44 : 42,974.25 = 42,974.25 : x
2. Step 2: Convert to fraction form
   27,677.44/42,974.25 = 42,974.25/x
3. Step 3: Cross multiply
   27,677.44x = 42,974.25 × 42,974.25
4. Step 4: Simplify right side
   27,677.44x = 1,846,786,163.06
5. Step 5: Solve for x
   x = 1,846,786,163.06/27,677.44
6. Step 6: Final answer
   x = 66,725.33