Finding the Third Proportional to 37,577.25 and 82,194.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,577.25 : 82,194.75 = 82,194.75 : x
2. Step 2: Convert to fraction form
   37,577.25/82,194.75 = 82,194.75/x
3. Step 3: Cross multiply
   37,577.25x = 82,194.75 × 82,194.75
4. Step 4: Simplify right side
   37,577.25x = 6,755,976,927.56
5. Step 5: Solve for x
   x = 6,755,976,927.56/37,577.25
6. Step 6: Final answer
   x = 179,789.02