Finding the Third Proportional to 37,338 and 57,090

Step by Step Solution

1. Step 1: Write the proportion equation
   37,338 : 57,090 = 57,090 : x
2. Step 2: Convert to fraction form
   37,338/57,090 = 57,090/x
3. Step 3: Cross multiply
   37,338x = 57,090 × 57,090
4. Step 4: Simplify right side
   37,338x = 3,259,268,100
5. Step 5: Solve for x
   x = 3,259,268,100/37,338
6. Step 6: Final answer
   x = 87,290.91