Finding the Third Proportional to 37,701 and 58,183.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,701 : 58,183.50 = 58,183.50 : x
2. Step 2: Convert to fraction form
   37,701/58,183.50 = 58,183.50/x
3. Step 3: Cross multiply
   37,701x = 58,183.50 × 58,183.50
4. Step 4: Simplify right side
   37,701x = 3,385,319,672.25
5. Step 5: Solve for x
   x = 3,385,319,672.25/37,701
6. Step 6: Final answer
   x = 89,793.90