Finding the Third Proportional to 37,222.50 and 80,595.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,222.50 : 80,595.50 = 80,595.50 : x
2. Step 2: Convert to fraction form
   37,222.50/80,595.50 = 80,595.50/x
3. Step 3: Cross multiply
   37,222.50x = 80,595.50 × 80,595.50
4. Step 4: Simplify right side
   37,222.50x = 6,495,634,620.25
5. Step 5: Solve for x
   x = 6,495,634,620.25/37,222.50
6. Step 6: Final answer
   x = 174,508.28