Finding the Third Proportional to 37,348 and 57,822

Step by Step Solution

1. Step 1: Write the proportion equation
   37,348 : 57,822 = 57,822 : x
2. Step 2: Convert to fraction form
   37,348/57,822 = 57,822/x
3. Step 3: Cross multiply
   37,348x = 57,822 × 57,822
4. Step 4: Simplify right side
   37,348x = 3,343,383,684
5. Step 5: Solve for x
   x = 3,343,383,684/37,348
6. Step 6: Final answer
   x = 89,519.75