Finding the Third Proportional to 19,458 and 29,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,458 : 29,758.50 = 29,758.50 : x
2. Step 2: Convert to fraction form
   19,458/29,758.50 = 29,758.50/x
3. Step 3: Cross multiply
   19,458x = 29,758.50 × 29,758.50
4. Step 4: Simplify right side
   19,458x = 885,568,322.25
5. Step 5: Solve for x
   x = 885,568,322.25/19,458
6. Step 6: Final answer
   x = 45,511.79