Finding the Third Proportional to 37,758 and 57,225

Step by Step Solution

1. Step 1: Write the proportion equation
   37,758 : 57,225 = 57,225 : x
2. Step 2: Convert to fraction form
   37,758/57,225 = 57,225/x
3. Step 3: Cross multiply
   37,758x = 57,225 × 57,225
4. Step 4: Simplify right side
   37,758x = 3,274,700,625
5. Step 5: Solve for x
   x = 3,274,700,625/37,758
6. Step 6: Final answer
   x = 86,728.66