Finding the Third Proportional to 46,406 and 72,383

Step by Step Solution

1. Step 1: Write the proportion equation
   46,406 : 72,383 = 72,383 : x
2. Step 2: Convert to fraction form
   46,406/72,383 = 72,383/x
3. Step 3: Cross multiply
   46,406x = 72,383 × 72,383
4. Step 4: Simplify right side
   46,406x = 5,239,298,689
5. Step 5: Solve for x
   x = 5,239,298,689/46,406
6. Step 6: Final answer
   x = 112,901.32