Finding the Third Proportional to 37,199.25 and 81,789.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,199.25 : 81,789.75 = 81,789.75 : x
2. Step 2: Convert to fraction form
   37,199.25/81,789.75 = 81,789.75/x
3. Step 3: Cross multiply
   37,199.25x = 81,789.75 × 81,789.75
4. Step 4: Simplify right side
   37,199.25x = 6,689,563,205.06
5. Step 5: Solve for x
   x = 6,689,563,205.06/37,199.25
6. Step 6: Final answer
   x = 179,830.59