Finding the Third Proportional to 37,673.25 and 79,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,673.25 : 79,222.50 = 79,222.50 : x
2. Step 2: Convert to fraction form
   37,673.25/79,222.50 = 79,222.50/x
3. Step 3: Cross multiply
   37,673.25x = 79,222.50 × 79,222.50
4. Step 4: Simplify right side
   37,673.25x = 6,276,204,506.25
5. Step 5: Solve for x
   x = 6,276,204,506.25/37,673.25
6. Step 6: Final answer
   x = 166,595.78