Finding the Third Proportional to 36,936.75 and 81,649.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,936.75 : 81,649.50 = 81,649.50 : x
2. Step 2: Convert to fraction form
   36,936.75/81,649.50 = 81,649.50/x
3. Step 3: Cross multiply
   36,936.75x = 81,649.50 × 81,649.50
4. Step 4: Simplify right side
   36,936.75x = 6,666,640,850.25
5. Step 5: Solve for x
   x = 6,666,640,850.25/36,936.75
6. Step 6: Final answer
   x = 180,488.02