Finding the Third Proportional to 37,991 and 82,671.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,991 : 82,671.50 = 82,671.50 : x
2. Step 2: Convert to fraction form
   37,991/82,671.50 = 82,671.50/x
3. Step 3: Cross multiply
   37,991x = 82,671.50 × 82,671.50
4. Step 4: Simplify right side
   37,991x = 6,834,576,912.25
5. Step 5: Solve for x
   x = 6,834,576,912.25/37,991
6. Step 6: Final answer
   x = 179,899.90