Finding the Third Proportional to 37,225 and 57,565.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,225 : 57,565.50 = 57,565.50 : x
2. Step 2: Convert to fraction form
   37,225/57,565.50 = 57,565.50/x
3. Step 3: Cross multiply
   37,225x = 57,565.50 × 57,565.50
4. Step 4: Simplify right side
   37,225x = 3,313,786,790.25
5. Step 5: Solve for x
   x = 3,313,786,790.25/37,225
6. Step 6: Final answer
   x = 89,020.46