Finding the Third Proportional to 37,507 and 80,036

Step by Step Solution

1. Step 1: Write the proportion equation
   37,507 : 80,036 = 80,036 : x
2. Step 2: Convert to fraction form
   37,507/80,036 = 80,036/x
3. Step 3: Cross multiply
   37,507x = 80,036 × 80,036
4. Step 4: Simplify right side
   37,507x = 6,405,761,296
5. Step 5: Solve for x
   x = 6,405,761,296/37,507
6. Step 6: Final answer
   x = 170,788.42