Finding the Third Proportional to 37,807 and 80,392

Step by Step Solution

1. Step 1: Write the proportion equation
   37,807 : 80,392 = 80,392 : x
2. Step 2: Convert to fraction form
   37,807/80,392 = 80,392/x
3. Step 3: Cross multiply
   37,807x = 80,392 × 80,392
4. Step 4: Simplify right side
   37,807x = 6,462,873,664
5. Step 5: Solve for x
   x = 6,462,873,664/37,807
6. Step 6: Final answer
   x = 170,943.84