Finding the Third Proportional to 37,434 and 57,966

Step by Step Solution

1. Step 1: Write the proportion equation
   37,434 : 57,966 = 57,966 : x
2. Step 2: Convert to fraction form
   37,434/57,966 = 57,966/x
3. Step 3: Cross multiply
   37,434x = 57,966 × 57,966
4. Step 4: Simplify right side
   37,434x = 3,360,057,156
5. Step 5: Solve for x
   x = 3,360,057,156/37,434
6. Step 6: Final answer
   x = 89,759.50