Finding the Third Proportional to 37,320 and 57,783

Step by Step Solution

1. Step 1: Write the proportion equation
   37,320 : 57,783 = 57,783 : x
2. Step 2: Convert to fraction form
   37,320/57,783 = 57,783/x
3. Step 3: Cross multiply
   37,320x = 57,783 × 57,783
4. Step 4: Simplify right side
   37,320x = 3,338,875,089
5. Step 5: Solve for x
   x = 3,338,875,089/37,320
6. Step 6: Final answer
   x = 89,466.11