Finding the Third Proportional to 37,969.25 and 83,086.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,969.25 : 83,086.75 = 83,086.75 : x
2. Step 2: Convert to fraction form
   37,969.25/83,086.75 = 83,086.75/x
3. Step 3: Cross multiply
   37,969.25x = 83,086.75 × 83,086.75
4. Step 4: Simplify right side
   37,969.25x = 6,903,408,025.56
5. Step 5: Solve for x
   x = 6,903,408,025.56/37,969.25
6. Step 6: Final answer
   x = 181,815.76