Finding the Third Proportional to 36,826 and 57,608.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,826 : 57,608.50 = 57,608.50 : x
2. Step 2: Convert to fraction form
   36,826/57,608.50 = 57,608.50/x
3. Step 3: Cross multiply
   36,826x = 57,608.50 × 57,608.50
4. Step 4: Simplify right side
   36,826x = 3,318,739,272.25
5. Step 5: Solve for x
   x = 3,318,739,272.25/36,826
6. Step 6: Final answer
   x = 90,119.46