Finding the Third Proportional to 389.50 and 912.25

Step by Step Solution

1. Step 1: Write the proportion equation
   389.50 : 912.25 = 912.25 : x
2. Step 2: Convert to fraction form
   389.50/912.25 = 912.25/x
3. Step 3: Cross multiply
   389.50x = 912.25 × 912.25
4. Step 4: Simplify right side
   389.50x = 832,200.06
5. Step 5: Solve for x
   x = 832,200.06/389.50
6. Step 6: Final answer
   x = 2,136.59