Finding the Third Proportional to 37,642.50 and 81,845.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,642.50 : 81,845.75 = 81,845.75 : x
2. Step 2: Convert to fraction form
   37,642.50/81,845.75 = 81,845.75/x
3. Step 3: Cross multiply
   37,642.50x = 81,845.75 × 81,845.75
4. Step 4: Simplify right side
   37,642.50x = 6,698,726,793.06
5. Step 5: Solve for x
   x = 6,698,726,793.06/37,642.50
6. Step 6: Final answer
   x = 177,956.48