Finding the Third Proportional to 29,628 and 41,923.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,628 : 41,923.50 = 41,923.50 : x
2. Step 2: Convert to fraction form
   29,628/41,923.50 = 41,923.50/x
3. Step 3: Cross multiply
   29,628x = 41,923.50 × 41,923.50
4. Step 4: Simplify right side
   29,628x = 1,757,579,852.25
5. Step 5: Solve for x
   x = 1,757,579,852.25/29,628
6. Step 6: Final answer
   x = 59,321.58