Finding the Third Proportional to 37,791 and 82,489.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,791 : 82,489.50 = 82,489.50 : x
2. Step 2: Convert to fraction form
   37,791/82,489.50 = 82,489.50/x
3. Step 3: Cross multiply
   37,791x = 82,489.50 × 82,489.50
4. Step 4: Simplify right side
   37,791x = 6,804,517,610.25
5. Step 5: Solve for x
   x = 6,804,517,610.25/37,791
6. Step 6: Final answer
   x = 180,056.56