Finding the Third Proportional to 19,578.38 and 29,826.56

Step by Step Solution

1. Step 1: Write the proportion equation
   19,578.38 : 29,826.56 = 29,826.56 : x
2. Step 2: Convert to fraction form
   19,578.38/29,826.56 = 29,826.56/x
3. Step 3: Cross multiply
   19,578.38x = 29,826.56 × 29,826.56
4. Step 4: Simplify right side
   19,578.38x = 889,623,830.57
5. Step 5: Solve for x
   x = 889,623,830.57/19,578.38
6. Step 6: Final answer
   x = 45,439.10