Finding the Third Proportional to 37,170 and 57,594

Step by Step Solution

1. Step 1: Write the proportion equation
   37,170 : 57,594 = 57,594 : x
2. Step 2: Convert to fraction form
   37,170/57,594 = 57,594/x
3. Step 3: Cross multiply
   37,170x = 57,594 × 57,594
4. Step 4: Simplify right side
   37,170x = 3,317,068,836
5. Step 5: Solve for x
   x = 3,317,068,836/37,170
6. Step 6: Final answer
   x = 89,240.49