Finding the Third Proportional to 37,991.25 and 82,671.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,991.25 : 82,671.75 = 82,671.75 : x
2. Step 2: Convert to fraction form
   37,991.25/82,671.75 = 82,671.75/x
3. Step 3: Cross multiply
   37,991.25x = 82,671.75 × 82,671.75
4. Step 4: Simplify right side
   37,991.25x = 6,834,618,248.06
5. Step 5: Solve for x
   x = 6,834,618,248.06/37,991.25
6. Step 6: Final answer
   x = 179,899.80