Finding the Third Proportional to 37,734 and 58,185

Step by Step Solution

1. Step 1: Write the proportion equation
   37,734 : 58,185 = 58,185 : x
2. Step 2: Convert to fraction form
   37,734/58,185 = 58,185/x
3. Step 3: Cross multiply
   37,734x = 58,185 × 58,185
4. Step 4: Simplify right side
   37,734x = 3,385,494,225
5. Step 5: Solve for x
   x = 3,385,494,225/37,734
6. Step 6: Final answer
   x = 89,719.99