Finding the Third Proportional to 20,826 and 45,535.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,826 : 45,535.50 = 45,535.50 : x
2. Step 2: Convert to fraction form
   20,826/45,535.50 = 45,535.50/x
3. Step 3: Cross multiply
   20,826x = 45,535.50 × 45,535.50
4. Step 4: Simplify right side
   20,826x = 2,073,481,760.25
5. Step 5: Solve for x
   x = 2,073,481,760.25/20,826
6. Step 6: Final answer
   x = 99,562.17