Finding the Third Proportional to 72,384 and 105,983

Step by Step Solution

1. Step 1: Write the proportion equation
   72,384 : 105,983 = 105,983 : x
2. Step 2: Convert to fraction form
   72,384/105,983 = 105,983/x
3. Step 3: Cross multiply
   72,384x = 105,983 × 105,983
4. Step 4: Simplify right side
   72,384x = 11,232,396,289
5. Step 5: Solve for x
   x = 11,232,396,289/72,384
6. Step 6: Final answer
   x = 155,177.89