Finding the Third Proportional to 37,902 and 82,112

Step by Step Solution

1. Step 1: Write the proportion equation
   37,902 : 82,112 = 82,112 : x
2. Step 2: Convert to fraction form
   37,902/82,112 = 82,112/x
3. Step 3: Cross multiply
   37,902x = 82,112 × 82,112
4. Step 4: Simplify right side
   37,902x = 6,742,380,544
5. Step 5: Solve for x
   x = 6,742,380,544/37,902
6. Step 6: Final answer
   x = 177,889.84