Finding the Third Proportional to 37,980 and 83,111

Step by Step Solution

1. Step 1: Write the proportion equation
   37,980 : 83,111 = 83,111 : x
2. Step 2: Convert to fraction form
   37,980/83,111 = 83,111/x
3. Step 3: Cross multiply
   37,980x = 83,111 × 83,111
4. Step 4: Simplify right side
   37,980x = 6,907,438,321
5. Step 5: Solve for x
   x = 6,907,438,321/37,980
6. Step 6: Final answer
   x = 181,870.41