Finding the Third Proportional to 37,099.69 and 82,505.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,099.69 : 82,505.25 = 82,505.25 : x
2. Step 2: Convert to fraction form
   37,099.69/82,505.25 = 82,505.25/x
3. Step 3: Cross multiply
   37,099.69x = 82,505.25 × 82,505.25
4. Step 4: Simplify right side
   37,099.69x = 6,807,116,277.56
5. Step 5: Solve for x
   x = 6,807,116,277.56/37,099.69
6. Step 6: Final answer
   x = 183,481.77