Finding the Third Proportional to 37,167.50 and 80,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,167.50 : 80,166.50 = 80,166.50 : x
2. Step 2: Convert to fraction form
   37,167.50/80,166.50 = 80,166.50/x
3. Step 3: Cross multiply
   37,167.50x = 80,166.50 × 80,166.50
4. Step 4: Simplify right side
   37,167.50x = 6,426,667,722.25
5. Step 5: Solve for x
   x = 6,426,667,722.25/37,167.50
6. Step 6: Final answer
   x = 172,910.95