Finding the Third Proportional to 37,950 and 83,019

Step by Step Solution

1. Step 1: Write the proportion equation
   37,950 : 83,019 = 83,019 : x
2. Step 2: Convert to fraction form
   37,950/83,019 = 83,019/x
3. Step 3: Cross multiply
   37,950x = 83,019 × 83,019
4. Step 4: Simplify right side
   37,950x = 6,892,154,361
5. Step 5: Solve for x
   x = 6,892,154,361/37,950
6. Step 6: Final answer
   x = 181,611.45