Finding the Third Proportional to 20,029.50 and 42,738.75

Step by Step Solution

1. Step 1: Write the proportion equation
   20,029.50 : 42,738.75 = 42,738.75 : x
2. Step 2: Convert to fraction form
   20,029.50/42,738.75 = 42,738.75/x
3. Step 3: Cross multiply
   20,029.50x = 42,738.75 × 42,738.75
4. Step 4: Simplify right side
   20,029.50x = 1,826,600,751.56
5. Step 5: Solve for x
   x = 1,826,600,751.56/20,029.50
6. Step 6: Final answer
   x = 91,195.52