Finding the Third Proportional to 37,071 and 80,608.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,071 : 80,608.50 = 80,608.50 : x
2. Step 2: Convert to fraction form
   37,071/80,608.50 = 80,608.50/x
3. Step 3: Cross multiply
   37,071x = 80,608.50 × 80,608.50
4. Step 4: Simplify right side
   37,071x = 6,497,730,272.25
5. Step 5: Solve for x
   x = 6,497,730,272.25/37,071
6. Step 6: Final answer
   x = 175,277.99