Finding the Third Proportional to 37,084 and 57,426

Step by Step Solution

1. Step 1: Write the proportion equation
   37,084 : 57,426 = 57,426 : x
2. Step 2: Convert to fraction form
   37,084/57,426 = 57,426/x
3. Step 3: Cross multiply
   37,084x = 57,426 × 57,426
4. Step 4: Simplify right side
   37,084x = 3,297,745,476
5. Step 5: Solve for x
   x = 3,297,745,476/37,084
6. Step 6: Final answer
   x = 88,926.37