Finding the Third Proportional to 37,867.50 and 79,728.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,867.50 : 79,728.75 = 79,728.75 : x
2. Step 2: Convert to fraction form
   37,867.50/79,728.75 = 79,728.75/x
3. Step 3: Cross multiply
   37,867.50x = 79,728.75 × 79,728.75
4. Step 4: Simplify right side
   37,867.50x = 6,356,673,576.56
5. Step 5: Solve for x
   x = 6,356,673,576.56/37,867.50
6. Step 6: Final answer
   x = 167,866.21