Finding the Third Proportional to 37,232 and 80,294.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,232 : 80,294.50 = 80,294.50 : x
2. Step 2: Convert to fraction form
   37,232/80,294.50 = 80,294.50/x
3. Step 3: Cross multiply
   37,232x = 80,294.50 × 80,294.50
4. Step 4: Simplify right side
   37,232x = 6,447,206,730.25
5. Step 5: Solve for x
   x = 6,447,206,730.25/37,232
6. Step 6: Final answer
   x = 173,163.05