Finding the Third Proportional to 37,832 and 83,010

Step by Step Solution

1. Step 1: Write the proportion equation
   37,832 : 83,010 = 83,010 : x
2. Step 2: Convert to fraction form
   37,832/83,010 = 83,010/x
3. Step 3: Cross multiply
   37,832x = 83,010 × 83,010
4. Step 4: Simplify right side
   37,832x = 6,890,660,100
5. Step 5: Solve for x
   x = 6,890,660,100/37,832
6. Step 6: Final answer
   x = 182,138.40