Finding the Third Proportional to 38,576 and 83,983

Step by Step Solution

1. Step 1: Write the proportion equation
   38,576 : 83,983 = 83,983 : x
2. Step 2: Convert to fraction form
   38,576/83,983 = 83,983/x
3. Step 3: Cross multiply
   38,576x = 83,983 × 83,983
4. Step 4: Simplify right side
   38,576x = 7,053,144,289
5. Step 5: Solve for x
   x = 7,053,144,289/38,576
6. Step 6: Final answer
   x = 182,837.63