Finding the Third Proportional to 37,680.19 and 82,756.69

Step by Step Solution

1. Step 1: Write the proportion equation
   37,680.19 : 82,756.69 = 82,756.69 : x
2. Step 2: Convert to fraction form
   37,680.19/82,756.69 = 82,756.69/x
3. Step 3: Cross multiply
   37,680.19x = 82,756.69 × 82,756.69
4. Step 4: Simplify right side
   37,680.19x = 6,848,669,325.97
5. Step 5: Solve for x
   x = 6,848,669,325.97/37,680.19
6. Step 6: Final answer
   x = 181,757.84