Finding the Third Proportional to 37,869 and 82,007.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,869 : 82,007.25 = 82,007.25 : x
2. Step 2: Convert to fraction form
   37,869/82,007.25 = 82,007.25/x
3. Step 3: Cross multiply
   37,869x = 82,007.25 × 82,007.25
4. Step 4: Simplify right side
   37,869x = 6,725,189,052.56
5. Step 5: Solve for x
   x = 6,725,189,052.56/37,869
6. Step 6: Final answer
   x = 177,590.88