Finding the Third Proportional to 37,047 and 82,099.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,047 : 82,099.50 = 82,099.50 : x
2. Step 2: Convert to fraction form
   37,047/82,099.50 = 82,099.50/x
3. Step 3: Cross multiply
   37,047x = 82,099.50 × 82,099.50
4. Step 4: Simplify right side
   37,047x = 6,740,327,900.25
5. Step 5: Solve for x
   x = 6,740,327,900.25/37,047
6. Step 6: Final answer
   x = 181,939.91