Finding the Third Proportional to 38,182 and 78,983

Step by Step Solution

1. Step 1: Write the proportion equation
   38,182 : 78,983 = 78,983 : x
2. Step 2: Convert to fraction form
   38,182/78,983 = 78,983/x
3. Step 3: Cross multiply
   38,182x = 78,983 × 78,983
4. Step 4: Simplify right side
   38,182x = 6,238,314,289
5. Step 5: Solve for x
   x = 6,238,314,289/38,182
6. Step 6: Final answer
   x = 163,383.64