Finding the Third Proportional to 36,806 and 57,396

Step by Step Solution

1. Step 1: Write the proportion equation
   36,806 : 57,396 = 57,396 : x
2. Step 2: Convert to fraction form
   36,806/57,396 = 57,396/x
3. Step 3: Cross multiply
   36,806x = 57,396 × 57,396
4. Step 4: Simplify right side
   36,806x = 3,294,300,816
5. Step 5: Solve for x
   x = 3,294,300,816/36,806
6. Step 6: Final answer
   x = 89,504.45