Finding the Third Proportional to 36,825 and 57,606

Step by Step Solution

1. Step 1: Write the proportion equation
   36,825 : 57,606 = 57,606 : x
2. Step 2: Convert to fraction form
   36,825/57,606 = 57,606/x
3. Step 3: Cross multiply
   36,825x = 57,606 × 57,606
4. Step 4: Simplify right side
   36,825x = 3,318,451,236
5. Step 5: Solve for x
   x = 3,318,451,236/36,825
6. Step 6: Final answer
   x = 90,114.09