Finding the Third Proportional to 37,902 and 55,872

Step by Step Solution

1. Step 1: Write the proportion equation
   37,902 : 55,872 = 55,872 : x
2. Step 2: Convert to fraction form
   37,902/55,872 = 55,872/x
3. Step 3: Cross multiply
   37,902x = 55,872 × 55,872
4. Step 4: Simplify right side
   37,902x = 3,121,680,384
5. Step 5: Solve for x
   x = 3,121,680,384/37,902
6. Step 6: Final answer
   x = 82,361.89