Finding the Third Proportional to 47,186 and 71,383

Step by Step Solution

1. Step 1: Write the proportion equation
   47,186 : 71,383 = 71,383 : x
2. Step 2: Convert to fraction form
   47,186/71,383 = 71,383/x
3. Step 3: Cross multiply
   47,186x = 71,383 × 71,383
4. Step 4: Simplify right side
   47,186x = 5,095,532,689
5. Step 5: Solve for x
   x = 5,095,532,689/47,186
6. Step 6: Final answer
   x = 107,988.23