Finding the Third Proportional to 37,113 and 80,886

Step by Step Solution

1. Step 1: Write the proportion equation
   37,113 : 80,886 = 80,886 : x
2. Step 2: Convert to fraction form
   37,113/80,886 = 80,886/x
3. Step 3: Cross multiply
   37,113x = 80,886 × 80,886
4. Step 4: Simplify right side
   37,113x = 6,542,544,996
5. Step 5: Solve for x
   x = 6,542,544,996/37,113
6. Step 6: Final answer
   x = 176,287.15