Finding the Third Proportional to 37,968 and 83,086

Step by Step Solution

1. Step 1: Write the proportion equation
   37,968 : 83,086 = 83,086 : x
2. Step 2: Convert to fraction form
   37,968/83,086 = 83,086/x
3. Step 3: Cross multiply
   37,968x = 83,086 × 83,086
4. Step 4: Simplify right side
   37,968x = 6,903,283,396
5. Step 5: Solve for x
   x = 6,903,283,396/37,968
6. Step 6: Final answer
   x = 181,818.46