Finding the Third Proportional to 51,826 and 80,029.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,826 : 80,029.50 = 80,029.50 : x
2. Step 2: Convert to fraction form
   51,826/80,029.50 = 80,029.50/x
3. Step 3: Cross multiply
   51,826x = 80,029.50 × 80,029.50
4. Step 4: Simplify right side
   51,826x = 6,404,720,870.25
5. Step 5: Solve for x
   x = 6,404,720,870.25/51,826
6. Step 6: Final answer
   x = 123,581.23