Finding the Third Proportional to 37,975.92 and 83,099.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,975.92 : 83,099.25 = 83,099.25 : x
2. Step 2: Convert to fraction form
   37,975.92/83,099.25 = 83,099.25/x
3. Step 3: Cross multiply
   37,975.92x = 83,099.25 × 83,099.25
4. Step 4: Simplify right side
   37,975.92x = 6,905,485,350.56
5. Step 5: Solve for x
   x = 6,905,485,350.56/37,975.92
6. Step 6: Final answer
   x = 181,838.52