Finding the Third Proportional to 37,692 and 58,170

Step by Step Solution

1. Step 1: Write the proportion equation
   37,692 : 58,170 = 58,170 : x
2. Step 2: Convert to fraction form
   37,692/58,170 = 58,170/x
3. Step 3: Cross multiply
   37,692x = 58,170 × 58,170
4. Step 4: Simplify right side
   37,692x = 3,383,748,900
5. Step 5: Solve for x
   x = 3,383,748,900/37,692
6. Step 6: Final answer
   x = 89,773.66